Theorem rexlimivaOLD

Description: Obsolete version of rexlimiva as of 23-Dec-2024. (Contributed by NM, 18-Dec-2006) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	rexlimivaOLD.1	⊢ ( ( 𝑥 ∈ 𝐴 ∧ 𝜑 ) → 𝜓 )
Assertion	rexlimivaOLD	⊢ ( ∃ 𝑥 ∈ 𝐴 𝜑 → 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		rexlimivaOLD.1	⊢ ( ( 𝑥 ∈ 𝐴 ∧ 𝜑 ) → 𝜓 )
2	1	ex	⊢ ( 𝑥 ∈ 𝐴 → ( 𝜑 → 𝜓 ) )
3	2	rexlimiv	⊢ ( ∃ 𝑥 ∈ 𝐴 𝜑 → 𝜓 )