Theorem bj-looinvii

Description: Inference associated with bj-looinvi . (Contributed by BJ, 30-Mar-2020)

	Ref	Expression
Hypotheses	bj-looinvii.1	⊢ ( ( 𝜑 → 𝜓 ) → 𝜓 )
	bj-looinvii.2	⊢ ( 𝜓 → 𝜑 )
Assertion	bj-looinvii	⊢ 𝜑

Proof

Step	Hyp	Ref	Expression
1		bj-looinvii.1	⊢ ( ( 𝜑 → 𝜓 ) → 𝜓 )
2		bj-looinvii.2	⊢ ( 𝜓 → 𝜑 )
3	1	bj-looinvi	⊢ ( ( 𝜓 → 𝜑 ) → 𝜑 )
4	2 3	ax-mp	⊢ 𝜑