Theorem anmp

Description: Modus ponens for { \/ , -. } axiom systems. (Contributed by Anthony Hart, 12-Aug-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	anmp.min	|- ph
	anmp.maj	|- ( -. ph \/ ps )
Assertion	anmp	|- ps

Proof

Step	Hyp	Ref	Expression
1		anmp.min	|- ph
2		anmp.maj	|- ( -. ph \/ ps )
3	2	imorri	|- ( ph -> ps )
4	1 3	ax-mp	|- ps