Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Apply set_ext with
1ad11.. x0 (0ac37.. x1 x2),
1ad11.. (1ad11.. x0 x1) x2 leaving 2 subgoals.
Let x3 of type ι be given.
Apply unknownprop_b29d0d66991b8737c3ef6109cea8b8736c6edd642ea721f35cfa04fecdda0905 with
x0,
0ac37.. x1 x2,
x3,
prim1 x3 (1ad11.. (1ad11.. x0 x1) x2) leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_3049ef35042a26417e6e2a411bca9b8d206847258db4e8c0544709df73c280e8 with
x1,
x2,
x3,
prim1 x3 (1ad11.. (1ad11.. x0 x1) x2) leaving 2 subgoals.
The subproof is completed by applying H2.
Apply unknownprop_4469442df960b88f16925ae745a59dde3c3d26a1d7b003702e92e0a7ea2361ef with
1ad11.. x0 x1,
x2,
x3 leaving 2 subgoals.
Apply unknownprop_4469442df960b88f16925ae745a59dde3c3d26a1d7b003702e92e0a7ea2361ef with
x0,
x1,
x3 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Let x3 of type ι be given.
Apply unknownprop_b29d0d66991b8737c3ef6109cea8b8736c6edd642ea721f35cfa04fecdda0905 with
1ad11.. x0 x1,
x2,
x3,
prim1 x3 (1ad11.. x0 (0ac37.. x1 x2)) leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_b29d0d66991b8737c3ef6109cea8b8736c6edd642ea721f35cfa04fecdda0905 with
x0,
x1,
x3,
prim1 x3 (1ad11.. x0 (0ac37.. x1 x2)) leaving 2 subgoals.
The subproof is completed by applying H1.
Apply unknownprop_4469442df960b88f16925ae745a59dde3c3d26a1d7b003702e92e0a7ea2361ef with
x0,
0ac37.. x1 x2,
x3 leaving 2 subgoals.
The subproof is completed by applying H3.
Apply unknownprop_a86576b47858fc2ae965025628d64bfd5a3ebff151e086fcdccba31002fa5e9c with
x1,
x2,
x3 leaving 2 subgoals.
The subproof is completed by applying H4.
The subproof is completed by applying H2.