Proofgold Proof

pf

Let x0 of type ι be given.

Let x1 of type ι be given.

Let x2 of type ι be given.

Assume H0: SNoEq_ x0 x1 x2.

Let x3 of type ι be given.

Assume H1: prim1 x3 x0.

Apply H0 with x3, prim1 x3 x1 ⟶ prim1 x3 x2 leaving 2 subgoals.

The subproof is completed by applying H1.

Assume H2: prim1 x3 x1 ⟶ prim1 x3 x2.

Assume H3: prim1 x3 x2 ⟶ prim1 x3 x1.

The subproof is completed by applying H2.

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