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

Let x1 of type ι → (ι → ο) → ο be given.

Let x2 of type ι be given.

Let x3 of type ι be given.

Let x4 of type ι → ο be given.

Assume H0: ∀ x5 . x5 ∈ PNo_bd x0 x1 ⟶ ∀ x6 : ι → ο . not (PNo_strict_imv x0 x1 x5 x6).

Assume H1: x3 ∈ ordsucc x2.

Assume H2: PNo_strict_imv x0 x1 x3 x4.

Assume H3: x3 ∈ PNo_bd x0 x1.

Apply H0 with x3, x4 leaving 2 subgoals.

The subproof is completed by applying H3.

The subproof is completed by applying H2.

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Proofgold Proof