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.
Let x5 of type ι be given.
Assume H0:
x0 = c77b5.. x1 x2 x3 x4 x5.
Let x6 of type ι be given.
Let x7 of type ι be given.
Apply H0 with
λ x8 x9 . x3 x6 x7 = e3162.. (f482f.. x9 (4ae4a.. (4ae4a.. 4a7ef..))) x6 x7.
Apply unknownprop_51dd0fb66962bee1c2fe2d4c3087ef74fa40b0ea2b10a68c4495889e589e4fea with
x1,
eb53d.. x1 x2,
eb53d.. x1 x3,
x4,
x5,
λ x8 x9 . x3 x6 x7 = e3162.. x9 x6 x7.
Let x8 of type ι → ι → ο be given.
Apply unknownprop_f02bb8dffd9892f81c13b086b7832cc64e4f4bb0eb417e8b8f70d26304224f53 with
x1,
x3,
x6,
x7,
λ x9 x10 . x8 x10 x9 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.