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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.
Apply unknownprop_d8f468fc749efab866c779febbe4cd601b5e2eeaa90e3f207f17de20f4ab68ab with x0, f4dc0.. x0, x1, λ x2 x3 . x3 = x1 leaving 4 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_8fbd0c2b48e78882e15936a0ad5f4a3c5af2cb37d9320d8cb210a91462e202ca with x0.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply unknownprop_5cbe8643f1e45151334fcd7208ed4c5dc2b120486b5022cdc81170c910647c5d with x0, λ x2 x3 . bc82c.. x3 x1 = x1 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_ccff4249496414413c3c95467fb8c02c96509ca2826dc03833e7de26e75fcd74 with x1.
The subproof is completed by applying H1.