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Proofgold Proof

pf
Let x0 of type ο be given.
Let x1 of type ο be given.
Apply unknownprop_535a42de1055bca61f176bc11115db76b3356ad18505799408acb5bdbd2addc1 with λ x2 x3 : ο → ο → ο . x3 x0 x1iff x1 x0.
Assume H0: (λ x2 x3 : ο . and (x2x3) (x3x2)) x0 x1.
Apply andE with x0x1, x1x0, iff x1 x0 leaving 2 subgoals.
The subproof is completed by applying H0.
Assume H1: x0x1.
Assume H2: x1x0.
Apply unknownprop_a818f53272de918398012791887b763f90bf043f961a4f625d98076ca0b8b392 with x1, x0 leaving 2 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H1.