Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι → ι → ι be given.
Let x3 of type ι → ι → ι be given.
Let x4 of type ι be given.
Assume H0:
x0 = e707a.. x1 x2 x3 x4.
Let x5 of type ι be given.
Let x6 of type ι be given.
Apply H0 with
λ x7 x8 . x2 x5 x6 = e3162.. (f482f.. x8 (4ae4a.. 4a7ef..)) x5 x6.
Apply unknownprop_a1109e80eebddd03ec86fb5e4a80ba8fed86666bac2429821c4ac4b346fe399a with
x1,
eb53d.. x1 x2,
eb53d.. x1 x3,
x4,
λ x7 x8 . x2 x5 x6 = e3162.. x8 x5 x6.
Let x7 of type ι → ι → ο be given.
Apply unknownprop_f02bb8dffd9892f81c13b086b7832cc64e4f4bb0eb417e8b8f70d26304224f53 with
x1,
x2,
x5,
x6,
λ x8 x9 . x7 x9 x8 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.