Theorem bi123impia

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

	Ref	Expression
Hypothesis	bi123impia.1	|- ( ( ph /\ ps ) <-> ( ch <-> th ) )
Assertion	bi123impia	|- ( ( ph /\ ps /\ ch ) -> th )

Proof

Step	Hyp	Ref	Expression
1		bi123impia.1	|- ( ( ph /\ ps ) <-> ( ch <-> th ) )
2	1	biimpi	|- ( ( ph /\ ps ) -> ( ch <-> th ) )
3	2	biimp3a	|- ( ( ph /\ ps /\ ch ) -> th )