Proofgold Proof

pf

Let x0 of type ι → ο be given.

Let x1 of type ι → ο be given.

Let x2 of type ι be given.

Assume H0: ordinal x2.

Let x3 of type ι be given.

Assume H1: prim1 x3 x2.

Assume H2: PNoEq_ x2 x0 x1.

Let x4 of type ι be given.

Assume H3: prim1 x4 x3.

Apply H2 with x4.

Apply H0 with prim1 x4 x2.

Assume H4: TransSet x2.

Assume H5: ∀ x5 . prim1 x5 x2 ⟶ TransSet x5.

Apply H4 with x3, x4 leaving 2 subgoals.

The subproof is completed by applying H1.

The subproof is completed by applying H3.

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