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Proofgold Proof

pf
Apply unknownprop_b30a94f49240f0717f4ecb200a605aa8a4e6dad6dc5d1afa60c37866ee96baab with 2, 1.
Assume H0: In 2 1.
Claim L1: 2 = 0
Apply unknownprop_7f6501f9f8c19f5c2cddf4168679e2ff20a237333cd0d098eed3a3984bc044c0 with 2, λ x0 . x0 = 0 leaving 2 subgoals.
The subproof is completed by applying H0.
Let x0 of type ιιο be given.
Assume H1: x0 0 0.
The subproof is completed by applying H1.
Apply notE with 2 = 0 leaving 2 subgoals.
The subproof is completed by applying unknownprop_47a023fb65dad0adf6176d6e56f8225fed35ae41cdd7dbd441c63ff764631416.
The subproof is completed by applying L1.