Let x0 of type ι → ο be given.
Let x1 of type ι → ι → ι → ο be given.
Let x2 of type ι → ι be given.
Let x3 of type ι → ι → ι → ι → ι → ι be given.
Let x4 of type ι → ι → ι → ι → ι be given.
Let x5 of type ι → ι → ι → ι → ι be given.
Let x6 of type ι → ι → ι → ι → ι → ι → ι be given.
Let x7 of type ι be given.
Let x8 of type ι be given.
Assume H1: x0 x7.
Assume H2: x0 x8.
Let x9 of type ι be given.
Let x10 of type ι be given.
Assume H3: x1 x8 x7 x9.
Assume H4: x1 x8 x7 x10.
Apply unknownprop_405763a49e2d1f210c8b00fd575b98396d06b49bcd8c281974349607fadf4178 with
x0,
x1,
x2,
x3,
x8,
x7,
x9,
x10,
x4 x8 x7 x9 x10,
x5 x8 x7 x9 x10,
x6 x8 x7 x9 x10.
Apply H0 with
x8,
x7,
x9,
x10 leaving 4 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H1.
The subproof is completed by applying H3.
The subproof is completed by applying H4.