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 (d3786.. x0 x1).

Apply not_and_or_demorgan with prim1 x2 x0, prim1 x2 x1.

Assume H1: and (prim1 x2 x0) (prim1 x2 x1).

Apply H1 with False.

Assume H2: prim1 x2 x0.

Assume H3: prim1 x2 x1.

Apply H0.

Apply unknownprop_0eb2245dc687a56a5adef9ad3fc675715803356fcfbd14168f93f22b67fac4c1 with x0, x1, x2 leaving 2 subgoals.

The subproof is completed by applying H2.

The subproof is completed by applying H3.

■

Proofgold Proof