Theorem bi3impb 38689

Description: Similar to 3impb 1260 with implication in hypothesis replaced by biconditional. (Contributed by Alan Sare, 6-Nov-2017.)

Hypothesis

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

Assertion

Ref	Expression
bi3impb	|- ( ( ph /\ ps /\ ch ) -> th )

Proof of Theorem bi3impb

Step	Hyp	Ref	Expression
1		bi3impb.1	. . 3 |- ( ( ph /\ ( ps /\ ch ) ) <-> th )
2	1	biimpi 206	. 2 |- ( ( ph /\ ( ps /\ ch ) ) -> th )
3	2	3impb 1260	1 |- ( ( ph /\ ps /\ ch ) -> th )

Syntax hints:   -> wi 4   <-> wb 196   /\ wa 384   /\ w3a 1037

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-an 386  df-3an 1039

This theorem is referenced by: (None)