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Proofgold Proposition
∀ x0 .
∀ x1 :
ι → ι
.
∀ x2 .
nat_p
x2
⟶
SNo_recipaux
x0
x1
(
ordsucc
x2
)
=
lam
2
(
λ x4 .
If_i
(
x4
=
0
)
(
binunion
(
binunion
(
ap
(
SNo_recipaux
x0
x1
x2
)
0
)
(
SNo_recipauxset
(
ap
(
SNo_recipaux
x0
x1
x2
)
0
)
x0
(
SNoR
x0
)
x1
)
)
(
SNo_recipauxset
(
ap
(
SNo_recipaux
x0
x1
x2
)
1
)
x0
(
SNoL_pos
x0
)
x1
)
)
(
binunion
(
binunion
(
ap
(
SNo_recipaux
x0
x1
x2
)
1
)
(
SNo_recipauxset
(
ap
(
SNo_recipaux
x0
x1
x2
)
0
)
x0
(
SNoL_pos
x0
)
x1
)
)
(
SNo_recipauxset
(
ap
(
SNo_recipaux
x0
x1
x2
)
1
)
x0
(
SNoR
x0
)
x1
)
)
)
type
prop
theory
HotG
name
SNo_recipaux_S
proof
PUewm..
Megalodon
SNo_recipaux_S
proofgold address
TMM8o..
SNo_recipaux_S
creator
27779
PrQUS..
/
aa3fd..
owner
27779
PrQUS..
/
aa3fd..
term root
35af7..