Theorem mpbiran2

Description: Detach truth from conjunction in biconditional. (Contributed by NM, 22-Feb-1996)

	Ref	Expression
Hypotheses	mpbiran2.1	|- ch
	mpbiran2.2	|- ( ph <-> ( ps /\ ch ) )
Assertion	mpbiran2	|- ( ph <-> ps )

Proof

Step	Hyp	Ref	Expression
1		mpbiran2.1	|- ch
2		mpbiran2.2	|- ( ph <-> ( ps /\ ch ) )
3	2	biancomi	|- ( ph <-> ( ch /\ ps ) )
4	1 3	mpbiran	|- ( ph <-> ps )