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.
Let x5 of type ι be given.
Assume H0:
x0 = 6640c.. x1 x2 x3 x4 x5.
Let x6 of type ι be given.
Apply H0 with
λ x7 x8 . x4 x6 = f482f.. (f482f.. x8 (4ae4a.. (4ae4a.. (4ae4a.. 4a7ef..)))) x6.
Apply unknownprop_abc631d2ee922f3c5533a4d3e52c7b3284ce5617d6e20f0e1d4266850fbf4b4f with
x1,
eb53d.. x1 x2,
eb53d.. x1 x3,
0fc90.. x1 x4,
x5,
λ x7 x8 . x4 x6 = f482f.. x8 x6.
Let x7 of type ι → ι → ο be given.
Apply unknownprop_b456609235d152f08bccfce314d541d7c44f3716137c00b0ce21cf467ba83d17 with
x1,
x4,
x6,
λ x8 x9 . x7 x9 x8.
The subproof is completed by applying H1.