Proofgold Proof

pf

Let x0 of type ι be given.

Let x1 of type ι be given.

Let x2 of type ι be given.

Assume H0: Subq x0 x1.

Assume H1: Subq x1 x2.

Apply unknownprop_c3fe42b21df0810041479a97b374de73f7754e07c8af1c88386a1e7dc0aad10f with x0, x2.

Let x3 of type ι be given.

Assume H2: In x3 x0.

Apply unknownprop_cc8f63ddfbec05087d89028647ba2c7b89da93a15671b61ba228d6841bbab5e9 with x1, x2, x3 leaving 2 subgoals.

The subproof is completed by applying H1.

Apply unknownprop_cc8f63ddfbec05087d89028647ba2c7b89da93a15671b61ba228d6841bbab5e9 with x0, x1, x3 leaving 2 subgoals.

The subproof is completed by applying H0.

The subproof is completed by applying H2.

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