Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι → ι be given.
Let x3 of type ι → ι be given.
Let x4 of type ι be given.
Apply H0 with
λ x5 x6 . x3 x4 = f482f.. (f482f.. x6 (4ae4a.. (4ae4a.. 4a7ef..))) x4.
Apply unknownprop_7a16b690fe761b47a98a266409f7c10953d45924d4b6dee50c46a27a0cf018bb with
x1,
0fc90.. x1 x2,
0fc90.. x1 x3,
λ x5 x6 . x3 x4 = f482f.. x6 x4.
Let x5 of type ι → ι → ο be given.
Apply unknownprop_b456609235d152f08bccfce314d541d7c44f3716137c00b0ce21cf467ba83d17 with
x1,
x3,
x4,
λ x6 x7 . x5 x7 x6.
The subproof is completed by applying H1.