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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_a23ec6a55ac212526d74cbf0d04096929ad453b0eb0f8023e32b8a33930d39fb with binintersect x0 x1, x0 leaving 2 subgoals.
The subproof is completed by applying unknownprop_e0d452e0e0459ccd22d0a0ca66d8c6b520f69a835c0ebd50bbdd40077efd4a68 with x0, x1.
Apply unknownprop_c3fe42b21df0810041479a97b374de73f7754e07c8af1c88386a1e7dc0aad10f with x0, binintersect x0 x1.
Let x2 of type ι be given.
Assume H1: In x2 x0.
Apply unknownprop_7e73699eda4c2a35af8db1aea1ddace7d2346405cd3944ace259823e1ec33cf3 with x0, x1, x2 leaving 2 subgoals.
The subproof is completed by applying H1.
Apply unknownprop_cc8f63ddfbec05087d89028647ba2c7b89da93a15671b61ba228d6841bbab5e9 with x0, x1, x2 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.