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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Let x3 of type ι be given.
Assume H0: 80242.. x0.
Assume H1: 80242.. x1.
Assume H2: 80242.. x2.
Assume H3: 80242.. x3.
Apply unknownprop_443bf25288cf39bc78395680f7fe50ad1a2a509c594b439821412f6af4f99866 with x3, f4dc0.. x2, λ x4 x5 . bc82c.. (bc82c.. x0 (bc82c.. x1 x2)) x5 = bc82c.. x0 (bc82c.. x1 x3) leaving 3 subgoals.
The subproof is completed by applying H3.
Apply unknownprop_8fbd0c2b48e78882e15936a0ad5f4a3c5af2cb37d9320d8cb210a91462e202ca with x2.
The subproof is completed by applying H2.
Apply unknownprop_72a10a6ff43a547508a4a6b39d7c77eb015a493c1fc838eccd7000515bcd21ff with x0, x1, x2, x3 leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.