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 be given.
Let x5 of type ι be given.
Assume H0:
x0 = c77b5.. x1 x2 x3 x4 x5.
Apply H0 with
λ x6 x7 . x1 = f482f.. x7 4a7ef...
Let x6 of type ι → ι → ο be given.
The subproof is completed by applying unknownprop_df289b318983034e16da1f740e3f72d5e8b70a5621d89a665d642916ce0a3f22 with
x1,
eb53d.. x1 x2,
eb53d.. x1 x3,
x4,
x5,
λ x7 x8 . x6 x8 x7.