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.. (d3786.. x0 x1) x2,
d3786.. x0 (1ad11.. x1 x2) leaving 2 subgoals.
Let x3 of type ι be given.
Apply unknownprop_b29d0d66991b8737c3ef6109cea8b8736c6edd642ea721f35cfa04fecdda0905 with
d3786.. x0 x1,
x2,
x3,
prim1 x3 (d3786.. x0 (1ad11.. x1 x2)) leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_1ac99d32a7ae5dc08fd640ea6c8b661df6b3535fe85e88b30b17c3701cb4c7ce with
x0,
x1,
x3,
prim1 x3 (d3786.. x0 (1ad11.. x1 x2)) leaving 2 subgoals.
The subproof is completed by applying H1.
Apply unknownprop_0eb2245dc687a56a5adef9ad3fc675715803356fcfbd14168f93f22b67fac4c1 with
x0,
1ad11.. x1 x2,
x3 leaving 2 subgoals.
The subproof is completed by applying H3.
Apply unknownprop_4469442df960b88f16925ae745a59dde3c3d26a1d7b003702e92e0a7ea2361ef with
x1,
x2,
x3 leaving 2 subgoals.
The subproof is completed by applying H4.
The subproof is completed by applying H2.
Let x3 of type ι be given.
Apply unknownprop_1ac99d32a7ae5dc08fd640ea6c8b661df6b3535fe85e88b30b17c3701cb4c7ce with
x0,
1ad11.. x1 x2,
x3,
prim1 x3 (1ad11.. (d3786.. x0 x1) x2) leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_b29d0d66991b8737c3ef6109cea8b8736c6edd642ea721f35cfa04fecdda0905 with
x1,
x2,
x3,
prim1 x3 (1ad11.. (d3786.. x0 x1) x2) leaving 2 subgoals.
The subproof is completed by applying H2.
Apply unknownprop_4469442df960b88f16925ae745a59dde3c3d26a1d7b003702e92e0a7ea2361ef with
d3786.. x0 x1,
x2,
x3 leaving 2 subgoals.
Apply unknownprop_0eb2245dc687a56a5adef9ad3fc675715803356fcfbd14168f93f22b67fac4c1 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.