Theorem bj-spnfw

Description: Theorem close to a closed form of spnfw . (Contributed by BJ, 12-May-2019)

	Ref	Expression
Assertion	bj-spnfw	$$⊢\left(\exists x\phi \to \psi \right)\to \left(\forall x\phi \to \psi \right)$$

Proof

Step	Hyp	Ref	Expression
1		19.2	$$⊢\forall x\phi \to \exists x\phi$$
2	1	imim1i	$$⊢\left(\exists x\phi \to \psi \right)\to \left(\forall x\phi \to \psi \right)$$