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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: Subq x0 x1.
Apply unknownprop_57c8600e4bc6abecef2ae17962906fa2de1fc16f5d46ed100ff99cd5b67f5b1b with x0, x1, λ x2 . x2 leaving 2 subgoals.
Let x2 of type ι be given.
Assume H1: In x2 x0.
Apply unknownprop_cc8f63ddfbec05087d89028647ba2c7b89da93a15671b61ba228d6841bbab5e9 with x0, x1, x2 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Let x2 of type ι be given.
Assume H1: In x2 x0.
Let x3 of type ι be given.
Assume H2: In x3 x0.
Assume H3: (λ x4 . x4) x2 = (λ x4 . x4) x3.
The subproof is completed by applying H3.