Theorem bj-alrim2

Description: Uncurried (imported) form of bj-alrim . (Contributed by BJ, 2-May-2019)

	Ref	Expression
Assertion	bj-alrim2	$$⊢\left(Ⅎx\phi \wedge \forall x\left(\phi \to \psi \right)\right)\to \left(\phi \to \forall x\psi \right)$$

Proof

Step	Hyp	Ref	Expression
1		bj-alrim	$$⊢Ⅎx\phi \to \left(\forall x\left(\phi \to \psi \right)\to \left(\phi \to \forall x\psi \right)\right)$$
2	1	imp	$$⊢\left(Ⅎx\phi \wedge \forall x\left(\phi \to \psi \right)\right)\to \left(\phi \to \forall x\psi \right)$$