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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0setminus u22 u17.
Let x1 of type ιο be given.
Assume H1: x1 u17.
Assume H2: x1 u18.
Assume H3: x1 u19.
Assume H4: x1 u20.
Assume H5: x1 u21.
Apply setminusE with u22, u17, x0, x1 x0 leaving 2 subgoals.
The subproof is completed by applying H0.
Assume H6: x0u22.
Apply unknownprop_d063ce03105999ee16bbafa5f65220ff2535b43f3c3d0afd7d320f4f3006227c with x0, λ x2 . nIn x2 u17x1 x2 leaving 23 subgoals.
The subproof is completed by applying H6.
Assume H7: nIn 0 u17.
Apply FalseE with x1 0.
Apply H7.
The subproof is completed by applying unknownprop_9851dfe301262128a9dc5def6f083cbb499c4d0eace7612e5dc050c4fe5ba3c7.
Assume H7: nIn u1 u17.
Apply FalseE with x1 u1.
Apply H7.
The subproof is completed by applying unknownprop_4f0f2f2c8505addb4aa66d1187553d1cf0a291464cc87b78a3faaf7ae73ed155.
Assume H7: nIn u2 u17.
Apply FalseE with x1 u2.
Apply H7.
The subproof is completed by applying unknownprop_fcb0372c2816a1d869a174f57c9ee90635b20300695b8cc5b4a5ca8436427e30.
Assume H7: nIn u3 u17.
Apply FalseE with x1 u3.
Apply H7.
The subproof is completed by applying unknownprop_515e04c9d20f4760fa1f9ec9f7d43a79e2cf83cd96ac9929a00f63e10a33bee6.
Assume H7: nIn u4 u17.
Apply FalseE with x1 u4.
Apply H7.
The subproof is completed by applying unknownprop_8bfb0eb80a8f5f9fa400351ad533eb8f6abcbab81f79751d9b99dc5c5b198b37.
Assume H7: nIn u5 u17.
Apply FalseE with x1 u5.
Apply H7.
The subproof is completed by applying unknownprop_add6307eacf71a9b26cddaf6256b63e565e929785d0ee0946ee6b253d6c3852e.
Assume H7: nIn u6 u17.
Apply FalseE with x1 u6.
Apply H7.
The subproof is completed by applying unknownprop_e8645556daad09b81c208e8cbf014ff23194c321a76d028c3b35a1714720baab.
Assume H7: nIn u7 u17.
Apply FalseE with x1 u7.
Apply H7.
The subproof is completed by applying unknownprop_97cf1bf10df747733c6e7166825443492e8a9bbd5381654e4874ef5f3ceacd0a.
Assume H7: nIn u8 u17.
Apply FalseE with x1 u8.
Apply H7.
The subproof is completed by applying unknownprop_6e6799a9f21ccdffe58af218db8306610bd1441f3fa0fcc3f6eaa957ce165f57.
Assume H7: nIn u9 u17.
Apply FalseE with x1 u9.
Apply H7.
The subproof is completed by applying unknownprop_abbef1301044c000653f42960a8047881f2ef656bd9cecef0ae9b764b6c0784f.
Assume H7: nIn u10 u17.
Apply FalseE with x1 u10.
Apply H7.
The subproof is completed by applying unknownprop_7af243686256d97349e2c2a55c958e2d435fe9a5e016344b19465fce23ad5676.
Assume H7: nIn u11 u17.
Apply FalseE with x1 u11.
Apply H7.
The subproof is completed by applying unknownprop_fde6379bebd0b99b66d966901300c529916d83c8c1f209841f486bb2568cf012.
Assume H7: nIn u12 u17.
Apply FalseE with x1 u12.
Apply H7.
The subproof is completed by applying unknownprop_b7a4a37161804b376f25028de76b0714142123cbd842ba90c86afe8baa6a8a9e.
Assume H7: nIn u13 u17.
Apply FalseE with x1 u13.
Apply H7.
The subproof is completed by applying unknownprop_ee249701bfbf4a0ddc5825c1bc6fff36b37e7d1af2b7d307fdfcf229c66eb3d7.
Assume H7: nIn u14 u17.
Apply FalseE with x1 u14.
Apply H7.
The subproof is completed by applying unknownprop_19ecd6ac8599e49ad47f95e5b1703b05d2332ac49ec04a48785748b0d8a5094a.
Assume H7: nIn u15 u17.
Apply FalseE with x1 u15.
Apply H7.
The subproof is completed by applying unknownprop_35f4d337254964d13bfee3413f1b56f908aee5828cc15d13f416e7a488640c53.
Assume H7: nIn u16 u17.
Apply FalseE with x1 u16.
Apply H7.
The subproof is completed by applying unknownprop_a76efb72f36a26d5f27a9b9224b42b8be1785c9e1b5b0390f7ccb72d2b130266.
Assume H7: nIn u17 u17.
The subproof is completed by applying H1.
Assume H7: nIn u18 u17.
The subproof is completed by applying H2.
Assume H7: nIn u19 u17.
The subproof is completed by applying H3.
Assume H7: nIn u20 u17.
The subproof is completed by applying H4.
Assume H7: nIn u21 u17.
The subproof is completed by applying H5.