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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 18 subgoals.
Apply unknownprop_02d5c34ff421c874b6ab3af91785d2c4accd1db615c4fdd57010624f92c011b0 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_fed7234f56f6a4a09e8568f10e2996a74ad202692f18776aba7fc8cbdea12327 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_395a5eb91f7708c102cbff3248e3d1602072590d485eb7917f8f1ad1187333ba 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_7c3c3abb45f3303cababf09bcc3979f7b397fe22e2a4f7c27e5bb79624278a78 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_b3c2c91b825da43e476b8258e017e9e3ce739b9fdc3558cf9f630b9f25a51911 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_af5450618dfacdf634f12a5016547b92f451a6cc3406a472253675226a04014e 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_6a279802d69d903ae1f5e186c21a8e4afde70881249b3ac0727390e5fb5f3122 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_503cdb5b336059c64b6c4854c6e551187f33fcda662a0979a984b7adfe34e45b 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_0eec873640990b0f73ccece6d173bc4af623931c306b33829050566114f36a80 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_f88d26bf1715a511f8fde03ab58619fec1e75ff219b7778e12aa5e1e705805f3 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_804156db6e264b814dc712597019c3328c30881963b1f120a8dc50adf86102b8 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_dbec4fbebba29119482220cc5f43283e4665fb589f8e0eef7c651c8eb3725cec 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_87aa183774f3040cd2e57dd8ebb412d7bafe0e55e72e4e684ae8eb007ebac4dc 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_ba061a12d609c986594e5b68f93811fed0e82b1a3dd76fe3c887de1f195f1306 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_7f9324a97c422eafdf5f8cc7d35895f93c181726ba141a92528768eb9f563c90 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_92d42fbd3a8a15274b9e3e2fbccc3f17f3c63526c7c99581cae9d0cb02c22d36 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_c4de47c050e0618dff8ec99a4f13d5f6b6617e8701569ee89d1ce5aa1af13e15 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_52fe9b57a7230fe323f953132e51eef439bba8267b9ed14469069de71ee540a7 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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