Theorem bj-stdpc5t

Description: Alias of bj-nnf-alrim for labeling consistency (a standard predicate calculus axiom). Closed form of stdpc5 proved from modalK (obsoleting stdpc5v ). (Contributed by BJ, 2-Dec-2023) Use bj-nnf-alrim instead. (New usaged is discouraged.)

	Ref	Expression
Assertion	bj-stdpc5t	$$⊢Ⅎ\text{'}x\phi \to \left(\forall x\left(\phi \to \psi \right)\to \left(\phi \to \forall x\psi \right)\right)$$

Proof

Step	Hyp	Ref	Expression
1		bj-nnf-alrim	$$⊢Ⅎ\text{'}x\phi \to \left(\forall x\left(\phi \to \psi \right)\to \left(\phi \to \forall x\psi \right)\right)$$