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Proofgold Proof

pf
Let x0 of type ι(ιο) → ο be given.
Let x1 of type ι(ιο) → ο be given.
Let x2 of type ι be given.
Assume H0: ordinal x2.
Assume H1: PNo_lenbdd x2 x0.
Assume H2: PNo_lenbdd x2 x1.
Let x3 of type ιο be given.
Assume H3: PNo_rel_strict_imv x0 x1 x2 x3.
Apply andI with PNo_rel_strict_imv x0 x1 (ordsucc x2) (λ x4 . and (x3 x4) (x4 = x2∀ x5 : ο . x5)), PNo_rel_strict_imv x0 x1 (ordsucc x2) (λ x4 . or (x3 x4) (x4 = x2)) leaving 2 subgoals.
Apply PNo_lenbdd_strict_imv_extend0 with x0, x1, x2, x3 leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
Apply PNo_lenbdd_strict_imv_extend1 with x0, x1, x2, x3 leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.