Theorem eximii

Description: Inference associated with eximi . (Contributed by BJ, 3-Feb-2018)

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

Proof

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