Search for blocks/addresses/...
Proofgold Proof
pf
Let x0 of type
ι
be given.
Let x1 of type
ι
be given.
Let x2 of type
ι
be given.
Assume H0:
prim0
(
prim0
(
prim1
(
λ x3 .
prim1
(
λ x4 .
prim0
(
prim0
(
prim0
x4
x3
)
(
prim0
x3
x4
)
)
(
prim0
(
prim0
x4
x4
)
(
prim0
x3
x3
)
)
)
)
)
(
prim0
(
prim1
(
λ x3 .
prim1
(
λ x4 .
prim0
(
prim0
(
prim0
x4
x3
)
(
prim0
x3
x4
)
)
(
prim0
(
prim0
x3
x3
)
(
prim0
x3
x3
)
)
)
)
)
(
prim0
(
prim1
(
λ x3 .
prim1
(
λ x4 .
prim0
(
prim0
(
prim0
x4
x3
)
(
prim0
x3
x3
)
)
(
prim0
(
prim0
x4
x4
)
(
prim0
x3
x4
)
)
)
)
)
(
prim0
(
prim1
(
λ x3 .
prim1
(
λ x4 .
prim0
(
prim0
(
prim0
x4
x3
)
(
prim0
x3
x4
)
)
(
prim0
(
prim0
x4
x3
)
(
prim0
x4
x3
)
)
)
)
)
(
prim0
(
prim1
(
λ x3 .
prim1
(
λ x4 .
prim0
(
prim0
(
prim0
x4
x3
)
(
prim0
x4
x3
)
)
(
prim0
(
prim0
x3
x3
)
(
prim0
x3
x3
)
)
)
)
)
(
prim0
(
prim1
(
λ x3 .
prim1
(
λ x4 .
prim0
(
prim0
(
prim0
x4
x3
)
(
prim0
x3
x3
)
)
(
prim0
(
prim0
x4
x4
)
(
prim0
x3
x3
)
)
)
)
)
(
prim0
(
prim1
(
λ x3 .
prim1
(
λ x4 .
prim0
(
prim0
(
prim0
x4
x3
)
(
prim0
x3
x4
)
)
(
prim0
(
prim0
x3
x4
)
(
prim0
x4
x3
)
)
)
)
)
(
prim0
(
prim1
(
λ x3 .
prim1
(
λ x4 .
prim0
(
prim0
(
prim0
x4
x3
)
(
prim0
x3
x4
)
)
(
prim0
(
prim0
x3
x3
)
(
prim0
x4
x3
)
)
)
)
)
(
prim0
(
prim1
(
λ x3 .
prim1
(
λ x4 .
prim0
(
prim0
(
prim0
x4
x3
)
(
prim0
x3
x3
)
)
(
prim0
(
prim0
x4
x4
)
(
prim0
x4
x4
)
)
)
)
)
(
prim0
(
prim1
(
λ x3 .
prim1
(
λ x4 .
prim0
(
prim0
(
prim0
x4
x3
)
(
prim0
x3
x4
)
)
(
prim0
(
prim0
x3
x3
)
(
prim0
x4
x4
)
)
)
)
)
(
prim0
(
prim1
(
λ x3 .
prim1
(
λ x4 .
prim0
(
prim0
(
prim0
x4
x3
)
(
prim0
x3
x4
)
)
(
prim0
(
prim0
x3
x4
)
(
prim0
x4
x3
)
)
)
)
)
(
prim0
(
prim1
(
λ x3 .
prim1
(
λ x4 .
prim0
(
prim0
(
prim0
x4
x3
)
(
prim0
x3
x4
)
)
(
prim0
(
prim0
x4
x4
)
(
prim0
x3
x3
)
)
)
)
)
(
prim0
(
prim1
(
λ x3 .
prim1
(
λ x4 .
prim0
(
prim0
(
prim0
...
...
)
...
)
...
)
)
)
...
)
)
)
)
)
)
)
)
)
)
)
)
)
...
=
...
.
...
■