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Proofgold Proof
pf
Let x0 of type
ι
→
ι
→
ο
be given.
Assume H0:
∃ x1 x2 .
x0
x1
x2
.
Claim L1:
∃ x1 .
x0
(
EpsR_i_i_1
x0
)
x1
Apply Eps_i_ex with
λ x1 .
∃ x2 .
x0
x1
x2
.
The subproof is completed by applying H0.
Apply Eps_i_ex with
λ x1 .
x0
(
EpsR_i_i_1
x0
)
x1
.
The subproof is completed by applying L1.
■