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Proofgold Proof

pf
Let x0 of type ο be given.
Let x1 of type ο be given.
Apply unknownprop_205dfda454738bda674e818ce60f3fddbf0921edb32095af6ffb25f2a0bd5888 with λ x2 x3 : ο → ο → ο . x3 x0 x1∀ x4 : ο . (x0not x1x4)(not x0x1x4)x4.
Assume H0: (λ x2 x3 : ο . or (and x2 (not x3)) (and (not x2) x3)) x0 x1.
Let x2 of type ο be given.
Assume H1: x0not x1x2.
Assume H2: not x0x1x2.
Apply unknownprop_eb8e8f72a91f1b934993d4cb19c84c8270f73a3626f3022b683d960a7fef89cb with and x0 (not x1), and (not x0) x1, x2 leaving 3 subgoals.
The subproof is completed by applying H0.
Assume H3: and x0 (not x1).
Apply andE with x0, not x1, x2 leaving 2 subgoals.
The subproof is completed by applying H3.
The subproof is completed by applying H1.
Assume H3: and (not x0) x1.
Apply andE with not x0, x1, x2 leaving 2 subgoals.
The subproof is completed by applying H3.
The subproof is completed by applying H2.