Theorem exlimdvv

Description: Deduction form of Theorem 19.23 of Margaris p. 90, see 19.23 . (Contributed by NM, 31-Jul-1995)

	Ref	Expression
Hypothesis	exlimdvv.1	$$⊢\phi \to \left(\psi \to \chi \right)$$
Assertion	exlimdvv	$$⊢\phi \to \left(\exists x\exists y\psi \to \chi \right)$$

Proof

Step	Hyp	Ref	Expression
1		exlimdvv.1	$$⊢\phi \to \left(\psi \to \chi \right)$$
2	1	exlimdv	$$⊢\phi \to \left(\exists y\psi \to \chi \right)$$
3	2	exlimdv	$$⊢\phi \to \left(\exists x\exists y\psi \to \chi \right)$$