Theorem exlimiiv

Description: Inference (Rule C) associated with exlimiv . (Contributed by BJ, 19-Dec-2020)

	Ref	Expression
Hypotheses	exlimiv.1	⊢ ( 𝜑 → 𝜓 )
	exlimiiv.2	⊢ ∃ 𝑥 𝜑
Assertion	exlimiiv	⊢ 𝜓

Proof

Step	Hyp	Ref	Expression
1		exlimiv.1	⊢ ( 𝜑 → 𝜓 )
2		exlimiiv.2	⊢ ∃ 𝑥 𝜑
3	1	exlimiv	⊢ ( ∃ 𝑥 𝜑 → 𝜓 )
4	2 3	ax-mp	⊢ 𝜓