Theorem bi123impib

Description: 3impib with the implications of the hypothesis biconditionals. (Contributed by Alan Sare, 6-Nov-2017)

	Ref	Expression
Hypothesis	bi123impib.1	|- ( ph <-> ( ( ps /\ ch ) <-> th ) )
Assertion	bi123impib	|- ( ( ph /\ ps /\ ch ) -> th )

Proof

Step	Hyp	Ref	Expression
1		bi123impib.1	|- ( ph <-> ( ( ps /\ ch ) <-> th ) )
2	1	biimpi	|- ( ph -> ( ( ps /\ ch ) <-> th ) )
3	2	bi23impib	|- ( ( ph /\ ps /\ ch ) -> th )