Theorem bj-hbal

Description: More general instance of hbal . (Contributed by BJ, 4-Apr-2026)

	Ref	Expression
Hypothesis	bj-hbal.1	$$⊢\phi \to \forall x\psi$$
Assertion	bj-hbal	$$⊢\forall y\phi \to \forall x\forall y\psi$$

Proof

Step	Hyp	Ref	Expression
1		bj-hbal.1	$$⊢\phi \to \forall x\psi$$
2		bj-hbalt	$$⊢\forall y\left(\phi \to \forall x\psi \right)\to \left(\forall y\phi \to \forall x\forall y\psi \right)$$
3	2 1	mpg	$$⊢\forall y\phi \to \forall x\forall y\psi$$