Theorem mpbir

Description: An inference from a biconditional, related to modus ponens. (Contributed by NM, 28-Dec-1992)

	Ref	Expression
Hypotheses	mpbir.min	|- ps
	mpbir.maj	|- ( ph <-> ps )
Assertion	mpbir	|- ph

Proof

Step	Hyp	Ref	Expression
1		mpbir.min	|- ps
2		mpbir.maj	|- ( ph <-> ps )
3	2	biimpri	|- ( ps -> ph )
4	1 3	ax-mp	|- ph