Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Let x3 of type ι be given.
Apply set_ext with
x1,
x3 leaving 2 subgoals.
Apply unknownprop_b9b6dbf376a00579026d78753c2bf3561c4b2390f4913bc56600d4ad940f2ab6 with
x0,
x1,
x2,
x3 leaving 4 subgoals.
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_b9b6dbf376a00579026d78753c2bf3561c4b2390f4913bc56600d4ad940f2ab6 with
x2,
x3,
x0,
x1 leaving 4 subgoals.
The subproof is completed by applying H3.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Let x4 of type ι → ι → ο be given.
The subproof is completed by applying H4 with λ x5 x6 . x4 x6 x5.