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
x2,
x3 leaving 2 subgoals.
Apply unknownprop_a79ea04ac9c9255c2b618497abbc7389c0c785799bca2cde703310372f219997 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_a79ea04ac9c9255c2b618497abbc7389c0c785799bca2cde703310372f219997 with
x1,
x0,
x3,
x2 leaving 5 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H0.
The subproof is completed by applying H3.
The subproof is completed by applying H2.
Let x4 of type ι → ι → ο be given.
The subproof is completed by applying H4 with λ x5 x6 . x4 x6 x5.