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 be given.
Let x4 of type ι → ο be given.
Let x5 of type ι → ο be given.
Assume H0:
x0 = f4fb4.. x1 x2 x3 x4 x5.
Let x6 of type ι be given.
Apply H0 with
λ x7 x8 . x3 x6 = f482f.. (f482f.. x8 (4ae4a.. (4ae4a.. 4a7ef..))) x6.
Apply unknownprop_51dd0fb66962bee1c2fe2d4c3087ef74fa40b0ea2b10a68c4495889e589e4fea with
x1,
e0e40.. x1 x2,
0fc90.. x1 x3,
1216a.. x1 x4,
1216a.. x1 x5,
λ x7 x8 . x3 x6 = f482f.. x8 x6.
Let x7 of type ι → ι → ο be given.
Apply unknownprop_b456609235d152f08bccfce314d541d7c44f3716137c00b0ce21cf467ba83d17 with
x1,
x3,
x6,
λ x8 x9 . x7 x9 x8.
The subproof is completed by applying H1.