Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type (ι → ο) → ο 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.
Apply H0 with
λ x6 x7 . x3 x4 x5 = e3162.. (f482f.. x7 (4ae4a.. (4ae4a.. 4a7ef..))) x4 x5.
Apply unknownprop_7a16b690fe761b47a98a266409f7c10953d45924d4b6dee50c46a27a0cf018bb with
x1,
e0e40.. x1 x2,
eb53d.. x1 x3,
λ x6 x7 . x3 x4 x5 = e3162.. x7 x4 x5.
Let x6 of type ι → ι → ο be given.
Apply unknownprop_f02bb8dffd9892f81c13b086b7832cc64e4f4bb0eb417e8b8f70d26304224f53 with
x1,
x3,
x4,
x5,
λ x7 x8 . x6 x8 x7 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.