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Proofgold Proposition
∀ x0 :
ι → ο
.
(
∀ x1 .
x0
x1
⟶
∀ x2 .
x0
x2
⟶
x0
(
setprod
x1
x2
)
)
⟶
(
∀ x1 .
x0
x1
⟶
∀ x2 .
x0
x2
⟶
x0
(
setexp
x2
x1
)
)
⟶
MetaCat_exp_constr_p
x0
HomSet
lam_id
(
λ x1 x2 x3 .
lam_comp
x1
)
setprod
(
λ x1 x2 .
lam
(
setprod
x1
x2
)
(
λ x3 .
ap
x3
0
)
)
(
λ x1 x2 .
lam
(
setprod
x1
x2
)
(
λ x3 .
ap
x3
1
)
)
(
λ x1 x2 x3 x4 x5 .
lam
x3
(
λ x6 .
lam
2
(
λ x7 .
If_i
(
x7
=
0
)
(
ap
x4
x6
)
(
ap
x5
x6
)
)
)
)
(
λ x1 x2 .
setexp
x2
x1
)
(
λ x1 x2 .
lam
(
setprod
(
setexp
x2
x1
)
x1
)
(
λ x3 .
ap
(
ap
x3
0
)
(
ap
x3
1
)
)
)
(
λ x1 x2 x3 x4 .
lam
x3
(
λ x5 .
lam
x1
(
λ x6 .
ap
x4
(
lam
2
(
λ x7 .
If_i
(
x7
=
0
)
x5
x6
)
)
)
)
)
type
prop
theory
HotG
name
-
proof
PUQ8q..
Megalodon
MetaCatSet_product_exponent_gen_setprod_setexp
proofgold address
TMThK..
MetaCatSet_product_exponent_gen_setprod_setexp
creator
11511
PrEBh..
/
d665a..
owner
11520
PrEBh..
/
b960a..
term root
f7915..