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Let x0 of type ι be given.
Let x1 of type ι → ι → ο be given.
Assume H0: ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ x1 x2 x3 ⟶ x1 x3 x2.
Let x2 of type ι be given.
Assume H3: x2 ∈ x0.
Let x3 of type ι be given.
Apply H5 with 5bab1.. x0 x1 leaving 19 subgoals.
Apply unknownprop_513adab6f1f4fc0bc43f29497287451b6468c677a3a43dc6ea2134032f1f3120 with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_81df60a128fae80ad177096c43febc020e6668c2ec3300f307ac8104ddd57320 with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Let x4 of type ι be given.
Assume H6: x4 ∈ x3.
Let x5 of type ι be given.
Assume H7: x5 ∈ x3.
Let x6 of type ι be given.
Assume H8: x6 ∈ x3.
Let x7 of type ι be given.
Assume H9: x7 ∈ x3.
Let x8 of type ι be given.
Assume H10: x8 ∈ x3.
Let x9 of type ι be given.
Assume H11: x9 ∈ x3.
Let x10 of type ι be given.
Assume H12: x10 ∈ x3.
Let x11 of type ι be given.
Assume H13: x11 ∈ x3.
Let x12 of type ι be given.
Assume H14: x12 ∈ x3.
Assume H15: 0076f.. x1 x4 x5 x6 x7 x8 x9 x10 x11 x12. Apply unknownprop_44119d96dba95b881cd883a0b760cd547cd9e183118af3e95a96615d42b45b7e with x3, x0, x1, x2, x4, x5, x6, x7, x8, x9, x10, x11, x12, 5bab1.. x0 x1 leaving 15 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
The subproof is completed by applying H6.
The subproof is completed by applying H7.
The subproof is completed by applying H8.
The subproof is completed by applying H9.
The subproof is completed by applying H10.
The subproof is completed by applying H11.
The subproof is completed by applying H12.
The subproof is completed by applying H13.
The subproof is completed by applying H14.
The subproof is completed by applying H15.
Apply unknownprop_82277743aa17ef501d0ade1f474810aefd86c8d95c0822f2e1721cfbef6f71cf with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_1befb7c002b9532f5a8b0d6f863bb68ccba6ef723f81d287a9c0847192889ef3 with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_8b3a6a512339d62759534e80772880edacf17af9cfba0cc2243a82f460027e57 with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_c0e693c99dc93b37768e9b6589febf1c6f4b4a7667174e1a8890904948cf35a9 with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_00f448f995c967ac99f7b93b2d845db1d67ac835cf98251c351763fa820c778a with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_11d93635d2187b0f5f1f91b02b9bbbf380bfa1ef3f7a9ef43f124fe3aca5f012 with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_9db67721f8cca588b51e8f56313c20c5821ecc271c0c468aad8b95255a7c7cf9 with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_5d184295293e432dac8f40580856eefdc9ed59d8adaa641713bf559bcf3ecc68 with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_8475974612447d7c1aef4369269fab9c581aa71e54b2603c2be6252b88bfd27c with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_2ea73e701e8f888bacb706029fe5ef1fc3ed4475bebf961373c1e93a77373862 with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_ea83ca5c318b5d5dfc10ea02b07d0c8344c453bc120f8784deef2bd904af3e14 with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_28e6f3efd2a0a8451628c2907285867ae1f94076b68ebd303362cd7ad0eb9017 with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_1464ce48fee6a2281465757752052a8ce0bc637d3bb07ff95a857f4f14b3f5b2 with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_d71dbd9ae45e9b954b38b11945898f004265bd2804ae5d325fb6b0b09d0dc350 with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_77ab3243dbeb99b499177c520f37e85d7bfa6a1870d5de2bb2d75b1614861cfd with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_9b5b92854e3350cd2d2ec3f5137cac0f77437b151a2c8d7dfc6160d69bda3ebb with x0, x1, x2, x3 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
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