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 → ι be given.
Assume H0:
x0 = a255b.. x1 x2 x3 x4.
Let x5 of type ι be given.
Let x6 of type ι be given.
Apply H0 with
λ x7 x8 . x3 x5 x6 = e3162.. (f482f.. x8 (4ae4a.. (4ae4a.. 4a7ef..))) x5 x6.
Apply unknownprop_609acd0443eff633f33b94b7c15d47d918cf33a39d90a74bb85300ccecac83fa with
x1,
eb53d.. x1 x2,
eb53d.. x1 x3,
0fc90.. x1 x4,
λ x7 x8 . x3 x5 x6 = e3162.. x8 x5 x6.
Let x7 of type ι → ι → ο be given.
Apply unknownprop_f02bb8dffd9892f81c13b086b7832cc64e4f4bb0eb417e8b8f70d26304224f53 with
x1,
x3,
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.