Theorem bj-mp2c

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

	Ref	Expression
Hypotheses	bj-mp2c.majm	|- ( ph -> ( ps -> ch ) )
	bj-mp2c.maj	|- ( ph -> ps )
	bj-mp2c.min	|- ph
Assertion	bj-mp2c	|- ch

Proof

Step	Hyp	Ref	Expression
1		bj-mp2c.majm	|- ( ph -> ( ps -> ch ) )
2		bj-mp2c.maj	|- ( ph -> ps )
3		bj-mp2c.min	|- ph
4	3 2	ax-mp	|- ps
5	3 4 1	mp2	|- ch