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 be given.
Apply H0 with
λ x4 x5 . x2 x3 = f482f.. (f482f.. x5 (4ae4a.. 4a7ef..)) x3.
Apply unknownprop_327f4faff65d2b4b341be7a5ceca39a573a558eea38825726ce72538879f3bc4 with
x1,
0fc90.. x1 x2,
λ x4 x5 . x2 x3 = f482f.. x5 x3.
Let x4 of type ι → ι → ο be given.
Apply unknownprop_b456609235d152f08bccfce314d541d7c44f3716137c00b0ce21cf467ba83d17 with
x1,
x2,
x3,
λ x5 x6 . x4 x6 x5.
The subproof is completed by applying H1.