Let x0 of type ι be given.

Let x1 of type ι be given.

Let x2 of type ι be given.

Assume H0: nIn x2 (1ad11.. x0 x1).

Apply eq_imp_or with λ x3 x4 : ο → ο → ο . x3 (prim1 x2 x0) (prim1 x2 x1).

Assume H1: prim1 x2 x0.

Apply dneg with prim1 x2 x1.

Assume H2: nIn x2 x1.

Apply H0.

Apply unknownprop_4469442df960b88f16925ae745a59dde3c3d26a1d7b003702e92e0a7ea2361ef with x0, x1, x2 leaving 2 subgoals.

The subproof is completed by applying H1.

The subproof is completed by applying H2.

■

Proofgold Proof