Theorem bj-sylget2

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

	Ref	Expression
Assertion	bj-sylget2	$$⊢\left(\forall x\left(\phi \to \psi \right)\wedge \left(\exists x\psi \to \chi \right)\right)\to \left(\exists x\phi \to \chi \right)$$

Proof

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