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
x0,
x2 leaving 2 subgoals.
Apply unknownprop_1ad0a3bb149bcb06557204ce4ffbae688647b658570b28aa1e6e79d7f5cb88f2 with
x0,
x1,
x2,
x3 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H2.
Apply unknownprop_1ad0a3bb149bcb06557204ce4ffbae688647b658570b28aa1e6e79d7f5cb88f2 with
x2,
x3,
x0,
x1 leaving 2 subgoals.
The subproof is completed by applying H1.
Let x4 of type ι → ι → ο be given.
The subproof is completed by applying H2 with λ x5 x6 . x4 x6 x5.