Metamath Proof Explorer


Theorem bi3impa

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

Ref Expression
Hypothesis bi3impa.1
|- ( ( ( ph /\ ps ) /\ ch ) <-> th )
Assertion bi3impa
|- ( ( ph /\ ps /\ ch ) -> th )

Proof

Step Hyp Ref Expression
1 bi3impa.1
 |-  ( ( ( ph /\ ps ) /\ ch ) <-> th )
2 1 biimpi
 |-  ( ( ( ph /\ ps ) /\ ch ) -> th )
3 2 3impa
 |-  ( ( ph /\ ps /\ ch ) -> th )