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Proofgold Proposition
∀ x0 :
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
ι → ι
)
→
ι → ι
.
∀ x1 x2 :
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
(
ι → ι
)
→
ι → ι
)
→
(
ι → ι
)
→
ι → ι
.
ChurchNum_8ary_proj_p
x1
⟶
ChurchNum_3ary_proj_p
x0
⟶
ChurchNum_8ary_proj_p
x2
⟶
ChurchNums_3x8_to_u24
(
ChurchNums_8x3_to_3_lt4_id_ge4_rot2
x1
(
λ x4 x5 x6 :
(
ι → ι
)
→
ι → ι
.
x4
)
)
(
ChurchNums_8_perm_4_5_6_7_0_1_2_3
x1
)
=
ChurchNums_3x8_to_u24
(
ChurchNums_8x3_to_3_lt7_id_ge7_rot2
x2
x0
)
(
ChurchNums_8_perm_1_2_3_4_5_6_7_0
x2
)
⟶
and
(
x0
=
ChurchNums_8x3_to_3_lt5_id_ge5_rot2
x1
(
λ x4 x5 x6 :
(
ι → ι
)
→
ι → ι
.
x4
)
)
(
x2
=
ChurchNums_8_perm_3_4_5_6_7_0_1_2
x1
)
type
prop
theory
HotG
name
-
proof
PUZgP..
Megalodon
-
proofgold address
TMFE2..
creator
18945
Pr4zB..
/
c609e..
owner
18945
Pr4zB..
/
c609e..
term root
7bea6..