Theorem bj-mp2d

Description: A doublemodus ponens inference. Inference associated with mpcom . (Contributed by BJ, 24-Sep-2019)

	Ref	Expression
Hypotheses	bj-mp2d.majm	⊢ ( 𝜓 → ( 𝜑 → 𝜒 ) )
	bj-mp2d.maj	⊢ ( 𝜑 → 𝜓 )
	bj-mp2d.min	⊢ 𝜑
Assertion	bj-mp2d	⊢ 𝜒

Proof

Step	Hyp	Ref	Expression
1		bj-mp2d.majm	⊢ ( 𝜓 → ( 𝜑 → 𝜒 ) )
2		bj-mp2d.maj	⊢ ( 𝜑 → 𝜓 )
3		bj-mp2d.min	⊢ 𝜑
4	3 2	ax-mp	⊢ 𝜓
5	4 3 1	mp2	⊢ 𝜒