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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 17 subgoals.
Apply unknownprop_a7f8c8575b8d0889b9865c27fd43fceb49f1ae6ec8a20824a7b5bf209d691a8a 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_f3c5fcccad5bb8776356925a2047dd134b35342c4924a35774793881b21925c9 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_f2a38279e70d1a6dbc7c4384adea79248a1957e8dd2b5340a7c7fcfe41bd40c8 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_2fb027c5d3fdc7843328220ea8bf2ab7b81455e1c732d9c80c598744d014078e 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_950da6c3790e3e5277af380e6d2b6856cf79e60cbf50f1707db94acc16d45475 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_c311fd67d96a6acc0a86dee964dac3f3145ce5c5997990bb41b58cbecbaa1ca3 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_d67c87ac4f38204acc31a6421daea6fd547c70034a2e29eafe78c6df7ddf658a 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_194f1fcec570bf153d35e7a19afb805db91565eb22c630a127b0e74c7bbae78b 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_0cc403f2174c8077f5e819fac1da480f0fd35b57e2dced6ed71745a6eafa5b3a 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_35914ff8bb5883caff041bd1e9652cc9b0f15088ea4be9ee3d48d6b7c402ba82 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_3583cee5068a7313d094b08682c2d807ad38ae127d98b57432b1f1e653a39520 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_49ef648815c0904997ec95c85b25e2bf1a33b550b89f1d0af517da1e50ad120d 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_d85bda5b23ac578be2be3917d385348a636fa517560a300382ef6b083292697b 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_764213bccf422e4e201eaa439b3664b4ea0d8772e259f23ee740b8728421e513 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_f978531325e885cedfc2edd1284b224117fec87220fe7d75e8d9b58708cd1290 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_03ec8145a0834a8ac2b92502f64598a4becc15a4d9d9a6af8baaf754277cc74b 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_ef841d6b90b9c3217b5b9ed35dbdc80fd14637012fe47073d8b5bb3540e69eba 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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