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Proofgold Proof
pf
Let x0 of type
ι
be given.
Let x1 of type
ι
be given.
Assume H0:
setsum
(
ap
x0
0
)
(
ap
x0
1
)
=
x0
.
Assume H1:
x0
∈
x1
.
Apply apI with
x1
,
ap
x0
0
,
ap
x0
1
.
Apply H0 with
λ x2 x3 .
x3
∈
x1
.
The subproof is completed by applying H1.
■