Metamath Proof Explorer


Theorem bi3impb

Description: Similar to 3impb with implication in hypothesis replaced by biconditional. (Contributed by Alan Sare, 6-Nov-2017)

Ref Expression
Hypothesis bi3impb.1
|- ( ( ph /\ ( ps /\ ch ) ) <-> th )
Assertion bi3impb
|- ( ( ph /\ ps /\ ch ) -> th )

Proof

Step Hyp Ref Expression
1 bi3impb.1
 |-  ( ( ph /\ ( ps /\ ch ) ) <-> th )
2 1 biimpi
 |-  ( ( ph /\ ( ps /\ ch ) ) -> th )
3 2 3impb
 |-  ( ( ph /\ ps /\ ch ) -> th )