Let x0 of type ι → ι be given.

Let x1 of type ι be given.

Let x2 of type ι be given.

Assume H0: Subq x1 x2.

Let x3 of type ι be given.

Assume H1: prim1 x3 (94f9e.. x1 (λ x4 . x0 x4)).

Apply unknownprop_d908b89102f7b662c739e5a844f67efc8ae1cd05a2e9ce1e3546fa3885f40100 with x1, x0, x3, prim1 x3 (94f9e.. x2 x0) leaving 2 subgoals.

The subproof is completed by applying H1.

Let x4 of type ι be given.

Assume H2: prim1 x4 x1.

Assume H3: x3 = x0 x4.

Apply H3 with λ x5 x6 . prim1 x6 (94f9e.. x2 x0).

Apply unknownprop_4785a7374559bd7d78314ce01f76cab97234c9b29cfa5b01c939c64f8ccf18e4 with x2, x0, x4.

Apply H0 with x4.

The subproof is completed by applying H2.

■

Proofgold Proof