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	⊢ ( 𝜑 → ( 𝜓 → 𝜒 ) )
Assertion	exlimdvv	⊢ ( 𝜑 → ( ∃ 𝑥 ∃ 𝑦 𝜓 → 𝜒 ) )

Proof

Step	Hyp	Ref	Expression
1		exlimdvv.1	⊢ ( 𝜑 → ( 𝜓 → 𝜒 ) )
2	1	exlimdv	⊢ ( 𝜑 → ( ∃ 𝑦 𝜓 → 𝜒 ) )
3	2	exlimdv	⊢ ( 𝜑 → ( ∃ 𝑥 ∃ 𝑦 𝜓 → 𝜒 ) )