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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: 80242.. x0.
Assume H1: 80242.. x1.
Assume H2: 099f3.. (f4dc0.. x0) x1.
Apply unknownprop_3a727fa768d5525d8195bdc93993ff4ea68fc9d53a8aef656546df8c698dedd5 with x0, λ x2 x3 . 099f3.. (f4dc0.. x1) x2 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_3cc82c9758d3882690e6647e4154486613d1a5c615c0651627364410273ab026 with f4dc0.. x0, x1 leaving 3 subgoals.
Apply unknownprop_8fbd0c2b48e78882e15936a0ad5f4a3c5af2cb37d9320d8cb210a91462e202ca with x0.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.