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Proofgold Proof

pf
Let x0 of type ιι be given.
Let x1 of type ιο be given.
Assume H0: ∀ x2 . x1 x2x1 (x0 x2).
Let x2 of type ι be given.
Assume H1: x1 x2.
Apply unknownprop_ce54d5ef942573b8a5e252b7d383c47677ca0bf9a20df871ef49769286038d6d with x0, x1, ChurchNum_ii_7 ChurchNum2 x0 x2 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_ce54d5ef942573b8a5e252b7d383c47677ca0bf9a20df871ef49769286038d6d with x0, x1, x2 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.