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Proofgold Asset
asset id
e855fbb821b00b6c6cc178562e2fb5458dc1cbc7bc4e648d272033d2cc6cbbfa
asset hash
faa88637afee917bc13d1d1a93159af5eb3478c9bab1f5208e221d70ee5811a7
bday / block
39558
tx
19ed7..
preasset
doc published by
Pr4zB..
Param
4402e..
:
ι
→
(
ι
→
ι
→
ο
) →
ο
Param
cf2df..
:
ι
→
(
ι
→
ι
→
ο
) →
ο
Param
Subq
Subq
:
ι
→
ι
→
ο
Param
setminus
setminus
:
ι
→
ι
→
ι
Param
Sing
Sing
:
ι
→
ι
Param
atleastp
atleastp
:
ι
→
ι
→
ο
Param
u10
:
ι
Param
a0244..
:
ι
→
(
ι
→
ι
→
ο
) →
ο
Param
f1c88..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
97406..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
0d539..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
4b1cb..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
72942..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
47362..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
d8b5d..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
55171..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
1465e..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
ce338..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
6dee7..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
ea964..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
d1a27..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
60a50..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
c059e..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
e9db0..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
77203..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
133c1..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
bc7ef..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
9e253..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
68ab4..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
81575..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
86385..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
7c588..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
b019a..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
3d346..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
69895..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
1a764..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
51ac7..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
f78c3..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
39cca..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
34ea6..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
6caea..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
e5411..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
948b4..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
58295..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
4a04b..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
68a6f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
5d868..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
8629d..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
ea11f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
2005f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
de50b..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
3369f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
f9d60..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
ff926..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
71397..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
2560b..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
48a66..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
289d9..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
37c80..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
5a5ea..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
dd8d8..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
c6a41..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
c2a1e..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
15aa1..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
ccc6b..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
0446d..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
7683c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
96c77..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
07f55..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
93e63..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
c222a..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
c61bd..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
02f40..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
b1def..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
e68b8..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
5bc1a..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
8befb..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
8fb7c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
9bc89..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
3d118..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
33b5a..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
a2f4a..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
79b37..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
d833d..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
23d0b..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
c1005..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
61f8f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
ab383..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
856bc..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
788a1..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
3906f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
c9658..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
b72b8..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
cf898..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
f5373..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
48106..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
d4ea7..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
c1146..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
ca8ce..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
3f609..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
3656c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
9eb9c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
33102..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
48a69..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
d9cea..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
a56d9..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
5f015..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
903bc..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
4a22a..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
74e48..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
20d20..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
43c4e..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
f8fdb..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
66dda..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
3429e..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
28e6a..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
d9823..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
1b9db..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
b6bd6..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
26830..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
03c1b..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
0d1ce..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
11d3d..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
53762..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
1ccbe..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
73f56..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
e5a83..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
7861e..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
94275..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
2ad4c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
e5b49..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
6b6c2..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
a0b66..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
6d19b..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
08d9f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
99903..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
8a782..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
47dfa..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
22755..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
3f29d..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
518d7..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
99ac9..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
99fe6..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
2427f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
d09b6..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
2997a..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
5904d..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
3c675..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
79a0f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
a79f5..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
c3712..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
f0b8a..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
ff600..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
87daf..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
b4530..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
66bd0..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
558af..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
52ac0..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
4c6fc..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
4a27c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
bde2c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
89b0b..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
cc2aa..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
34b68..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
ed7e5..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Known
c978c..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
(
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
x1
x4
x5
⟶
x1
x5
x4
)
⟶
atleastp
u10
x3
⟶
4402e..
x3
x1
⟶
cf2df..
x3
x1
⟶
∀ x4 : ο .
(
a0244..
x0
x1
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
f1c88..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
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x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
97406..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
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x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
0d539..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
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x3
⟶
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x6
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x3
⟶
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x7
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x3
⟶
∀ x8 .
x8
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x3
⟶
∀ x9 .
x9
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x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
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x3
⟶
∀ x13 .
x13
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x3
⟶
∀ x14 .
x14
∈
x3
⟶
4b1cb..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
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x3
⟶
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x6
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x3
⟶
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x7
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x3
⟶
∀ x8 .
x8
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x3
⟶
∀ x9 .
x9
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x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
72942..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
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x3
⟶
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x6
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x3
⟶
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x7
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x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
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x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
47362..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
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x3
⟶
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x6
∈
x3
⟶
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x7
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x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
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x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
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x3
⟶
∀ x13 .
x13
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x3
⟶
∀ x14 .
x14
∈
x3
⟶
d8b5d..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
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x3
⟶
∀ x8 .
x8
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x3
⟶
∀ x9 .
x9
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x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
55171..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
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x3
⟶
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x6
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x3
⟶
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x7
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x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
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x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
1465e..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
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x3
⟶
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x6
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x3
⟶
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x7
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x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
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x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
ce338..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
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⟶
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x6
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x3
⟶
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x7
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x3
⟶
∀ x8 .
x8
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x3
⟶
∀ x9 .
x9
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x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
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x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
6dee7..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
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x3
⟶
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x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
ea964..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
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x3
⟶
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x6
∈
x3
⟶
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x7
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x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
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x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
d1a27..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
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x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
60a50..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
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x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
c059e..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
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x6
∈
x3
⟶
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x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
e9db0..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
77203..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
133c1..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
bc7ef..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
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x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
9e253..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
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x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
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x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
68ab4..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
81575..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
86385..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
7c588..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
b019a..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
3d346..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
69895..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
1a764..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
51ac7..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
f78c3..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
39cca..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
34ea6..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
6caea..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
e5411..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
948b4..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
58295..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
4a04b..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
68a6f..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
5d868..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
8629d..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
ea11f..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
2005f..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
de50b..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
3369f..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
f9d60..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
ff926..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
71397..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
2560b..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
48a66..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
289d9..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
37c80..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
5a5ea..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
dd8d8..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
c6a41..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
c2a1e..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
15aa1..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
ccc6b..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
0446d..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
7683c..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
96c77..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
07f55..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
93e63..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
c222a..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
c61bd..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
02f40..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
b1def..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
e68b8..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
5bc1a..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
8befb..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
8fb7c..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
9bc89..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
3d118..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
33b5a..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
a2f4a..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
79b37..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
d833d..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
23d0b..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
c1005..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
61f8f..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
ab383..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
856bc..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
788a1..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
3906f..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
c9658..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
b72b8..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
cf898..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
f5373..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
48106..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
d4ea7..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
c1146..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
ca8ce..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
3f609..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
3656c..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
9eb9c..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
33102..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
48a69..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
d9cea..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
a56d9..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
5f015..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
903bc..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
4a22a..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
74e48..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
20d20..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
43c4e..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
f8fdb..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
66dda..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
3429e..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
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x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
28e6a..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
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x3
⟶
∀ x6 .
x6
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x3
⟶
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x7
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x3
⟶
∀ x8 .
x8
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x3
⟶
∀ x9 .
x9
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x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
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x3
⟶
∀ x13 .
x13
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x3
⟶
∀ x14 .
x14
∈
x3
⟶
d9823..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
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x3
⟶
∀ x6 .
x6
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x3
⟶
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x7
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x3
⟶
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x8
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x3
⟶
∀ x9 .
x9
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x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
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x3
⟶
∀ x13 .
x13
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x3
⟶
∀ x14 .
x14
∈
x3
⟶
1b9db..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
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x6
∈
x3
⟶
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x7
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x3
⟶
∀ x8 .
x8
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x3
⟶
∀ x9 .
x9
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x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
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x3
⟶
∀ x13 .
x13
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x3
⟶
∀ x14 .
x14
∈
x3
⟶
b6bd6..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
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x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
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x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
26830..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
03c1b..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
0d1ce..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
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x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
11d3d..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
53762..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
1ccbe..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
73f56..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
e5a83..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
7861e..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
94275..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
2ad4c..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
e5b49..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
6b6c2..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
a0b66..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
6d19b..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
08d9f..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
99903..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
8a782..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
47dfa..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
22755..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
3f29d..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
518d7..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
99ac9..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
99fe6..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
2427f..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
d09b6..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
2997a..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
5904d..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
3c675..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
79a0f..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
a79f5..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
c3712..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
f0b8a..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
ff600..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
87daf..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
b4530..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
66bd0..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
558af..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
52ac0..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
4c6fc..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
4a27c..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
bde2c..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
89b0b..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
cc2aa..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
34b68..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
∀ x14 .
x14
∈
x3
⟶
ed7e5..
x1
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
⟶
x4
)
⟶
x4
Param
ordsucc
ordsucc
:
ι
→
ι
Definition
u11
:=
ordsucc
u10
Definition
and
and
:=
λ x0 x1 : ο .
∀ x2 : ο .
(
x0
⟶
x1
⟶
x2
)
⟶
x2
Known
e2ea8..
:
∀ x0 x1 .
atleastp
(
ordsucc
x0
)
x1
⟶
∀ x2 : ο .
(
∀ x3 .
and
(
x3
∈
x1
)
(
atleastp
x0
(
setminus
x1
(
Sing
x3
)
)
)
⟶
x2
)
⟶
x2
Known
55b33..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
f1c88..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
17a16..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
97406..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
0459d..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
0d539..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
fe888..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
4b1cb..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
91c0c..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
72942..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
4ae8c..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
47362..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
3fcfa..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
d8b5d..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
f28b2..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
55171..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
70585..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
1465e..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
f2ee2..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
ce338..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
31691..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
6dee7..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
cae92..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
ea964..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
56b1e..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
d1a27..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
1d3ac..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
60a50..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
b54f5..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
c059e..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
a8559..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
e9db0..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
8d40c..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
77203..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
77321..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
133c1..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
2583a..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
bc7ef..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
4d0b0..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
9e253..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
4dac5..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
68ab4..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
a9497..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
81575..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
9713f..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
86385..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
cf16e..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
7c588..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
c93b5..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
b019a..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
7ac10..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
3d346..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
005fb..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
69895..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
57cd6..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
1a764..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
02fdc..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
51ac7..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
2a2f8..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
f78c3..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
9949b..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
39cca..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
6d8e4..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
34ea6..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
a6adf..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
6caea..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
6bf49..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
e5411..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
11325..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
948b4..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
acdce..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
58295..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
9c109..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
4a04b..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
474ff..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
68a6f..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
ed518..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
5d868..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
f92fe..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
8629d..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
e8769..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
ea11f..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
67826..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
2005f..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
832cf..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
de50b..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
df2ee..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
3369f..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
15e78..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
f9d60..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
29fe4..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
ff926..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
0fe8d..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
71397..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
88351..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
2560b..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
afbd3..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
48a66..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
f2fe2..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
289d9..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
53f81..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
37c80..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
69fb8..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
5a5ea..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
eecb2..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
dd8d8..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
39ec8..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
c6a41..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
3746f..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
c2a1e..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
44022..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
15aa1..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
aa376..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
ccc6b..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
74e08..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
0446d..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
df4c6..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
7683c..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
70809..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
96c77..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
fdc34..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
07f55..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
c5ed2..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
93e63..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
88bd6..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
c222a..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
41613..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
c61bd..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
9b05a..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
02f40..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
ffb9e..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
b1def..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
3a52a..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
e68b8..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
74e07..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
5bc1a..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
4135e..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
8befb..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
22792..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
8fb7c..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
3f1c0..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
9bc89..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
23b35..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
3d118..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
50cc9..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
33b5a..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
2e37c..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
a2f4a..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
5a240..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
79b37..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
cb7c5..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
d833d..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
ba6d0..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
23d0b..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
38899..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
c1005..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
f48ba..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
61f8f..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
446df..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
ab383..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
ef210..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
856bc..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
8e9b2..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
788a1..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
83fba..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
3906f..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
ee883..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
c9658..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
8bb00..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
b72b8..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
a8505..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
cf898..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
8a84c..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
f5373..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
b1abf..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
48106..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
e79d4..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
d4ea7..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
0973b..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
c1146..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
c4192..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
ca8ce..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
62819..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
3f609..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
64a57..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
3656c..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
23998..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
9eb9c..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
49e7c..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
33102..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
ad65d..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
48a69..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
66c28..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
d9cea..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
dc394..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
a56d9..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
5b67d..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
5f015..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
9b75e..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
903bc..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
98ea7..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
4a22a..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
33512..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
74e48..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
88469..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
20d20..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
44c2e..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
43c4e..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
acf7a..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
f8fdb..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
0a0ea..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
66dda..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
448ec..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
3429e..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
22380..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
28e6a..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
023d3..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
d9823..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
96a21..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
1b9db..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
063a7..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
b6bd6..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
adc21..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
26830..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
64861..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
03c1b..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
a1cd7..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
0d1ce..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
1ee1b..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
11d3d..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
2c885..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
53762..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
90295..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
1ccbe..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
fac6d..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
73f56..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
75307..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
e5a83..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
c61c0..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
7861e..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
753fc..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
94275..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
6b972..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
2ad4c..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
883ef..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
e5b49..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
4c8e6..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
6b6c2..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
9afc9..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
a0b66..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
50989..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
6d19b..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
c92c4..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
08d9f..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
3bb01..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
99903..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
8132b..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
8a782..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
8a1a9..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
47dfa..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
6d93a..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
22755..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
05355..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
3f29d..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
b2268..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
518d7..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
ac5e2..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
99ac9..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
77abf..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
99fe6..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
d61ea..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
2427f..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
4eb41..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
d09b6..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
b8cdb..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
2997a..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
229ea..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
5904d..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
0aa20..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
3c675..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
d0a64..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
79a0f..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
4f94e..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
a79f5..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
87328..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
c3712..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
321a3..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
f0b8a..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
4f26b..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
ff600..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
0858a..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
87daf..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
64702..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
b4530..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
f66f1..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
66bd0..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
e7ed0..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
558af..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
69cb0..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
52ac0..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
a4256..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
4c6fc..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
20c44..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
4a27c..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
63e32..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
bde2c..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
8564e..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
89b0b..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
a29bf..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
⊆
setminus
x0
(
Sing
x2
)
⟶
∀ x4 .
x4
∈
x3
⟶
∀ x5 .
x5
∈
x3
⟶
∀ x6 .
x6
∈
x3
⟶
∀ x7 .
x7
∈
x3
⟶
∀ x8 .
x8
∈
x3
⟶
∀ x9 .
x9
∈
x3
⟶
∀ x10 .
x10
∈
x3
⟶
∀ x11 .
x11
∈
x3
⟶
∀ x12 .
x12
∈
x3
⟶
∀ x13 .
x13
∈
x3
⟶
cc2aa..
x1
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
a0244..
x0
x1
Known
33b71..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
34b68..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
2a0da..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
(
∀ x3 .
x3
∈
x1
⟶
∀ x4 .
x4
∈
x1
⟶
x2
x3
x4
⟶
x2
x4
x3
)
⟶
4402e..
x1
x2
⟶
cf2df..
x1
x2
⟶
∀ x3 .
x3
∈
x1
⟶
x0
⊆
setminus
x1
(
Sing
x3
)
⟶
∀ x4 .
x4
∈
x0
⟶
∀ x5 .
x5
∈
x0
⟶
∀ x6 .
x6
∈
x0
⟶
∀ x7 .
x7
∈
x0
⟶
∀ x8 .
x8
∈
x0
⟶
∀ x9 .
x9
∈
x0
⟶
∀ x10 .
x10
∈
x0
⟶
∀ x11 .
x11
∈
x0
⟶
∀ x12 .
x12
∈
x0
⟶
∀ x13 .
x13
∈
x0
⟶
ed7e5..
x2
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
⟶
∀ x14 : ο .
x14
Known
setminus_Subq
setminus_Subq
:
∀ x0 x1 .
setminus
x0
x1
⊆
x0
Known
Subq_ref
Subq_ref
:
∀ x0 .
x0
⊆
x0
Known
e7c7c..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
x0
⊆
x1
⟶
cf2df..
x1
x2
⟶
cf2df..
x0
x2
Known
a55d1..
:
∀ x0 x1 .
∀ x2 :
ι →
ι → ο
.
x0
⊆
x1
⟶
4402e..
x1
x2
⟶
4402e..
x0
x2
Known
setminusE1
setminusE1
:
∀ x0 x1 x2 .
x2
∈
setminus
x0
x1
⟶
x2
∈
x0
Theorem
6336e..
:
∀ x0 .
∀ x1 :
ι →
ι → ο
.
(
∀ x2 .
x2
∈
x0
⟶
∀ x3 .
x3
∈
x0
⟶
x1
x2
x3
⟶
x1
x3
x2
)
⟶
atleastp
u11
x0
⟶
4402e..
x0
x1
⟶
cf2df..
x0
x1
⟶
a0244..
x0
x1
(proof)