Proofgold Proof

pf

Let x0 of type ι → (ι → ο) → ο be given.

Let x1 of type ι be given.

Assume H0: ordinal x1.

Let x2 of type ι → ο be given.

Let x3 of type ι → ο be given.

Assume H1: PNoEq_ x1 x2 x3.

Assume H2: PNo_strict_lowerbd x0 x1 x2.

Let x4 of type ι be given.

Assume H3: ordinal x4.

Let x5 of type ι → ο be given.

Assume H4: x0 x4 x5.

Apply PNoEqLt_tra with x1, x4, x3, x2, x5 leaving 4 subgoals.

The subproof is completed by applying H0.

The subproof is completed by applying H3.

Apply PNoEq_sym_ with x1, x2, x3.

The subproof is completed by applying H1.

Apply H2 with x4, x5 leaving 2 subgoals.

The subproof is completed by applying H3.

The subproof is completed by applying H4.

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