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Proofgold Proof
pf
Apply In_ind with
λ x0 .
nIn
x0
x0
.
Let x0 of type
ι
be given.
Assume H0:
∀ x1 .
x1
∈
x0
⟶
nIn
x1
x1
.
Assume H1:
x0
∈
x0
.
Apply H0 with
x0
leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H1.
■