Theorem pm5.32i

Description: Distribution of implication over biconditional (inference form). (Contributed by NM, 1-Aug-1994)

	Ref	Expression
Hypothesis	pm5.32i.1	|- ( ph -> ( ps <-> ch ) )
Assertion	pm5.32i	|- ( ( ph /\ ps ) <-> ( ph /\ ch ) )

Proof

Step	Hyp	Ref	Expression
1		pm5.32i.1	|- ( ph -> ( ps <-> ch ) )
2		pm5.32	|- ( ( ph -> ( ps <-> ch ) ) <-> ( ( ph /\ ps ) <-> ( ph /\ ch ) ) )
3	1 2	mpbi	|- ( ( ph /\ ps ) <-> ( ph /\ ch ) )