Theorem bj-mp2d

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

	Ref	Expression
Hypotheses	bj-mp2d.1	|- ph
	bj-mp2d.2	|- ( ph -> ps )
	bj-mp2d.3	|- ( ps -> ( ph -> ch ) )
Assertion	bj-mp2d	|- ch

Proof

Step	Hyp	Ref	Expression
1		bj-mp2d.1	|- ph
2		bj-mp2d.2	|- ( ph -> ps )
3		bj-mp2d.3	|- ( ps -> ( ph -> ch ) )
4	1 2	ax-mp	|- ps
5	4 1 3	mp2	|- ch