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_c24183eccc3e65803d127fabb5f50ba8a680819dfa1c453f312d7647ddec571b 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.