Theorem simp332 1215

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Assertion

Ref	Expression
simp332	|- ( ( et /\ ze /\ ( th /\ ta /\ ( ph /\ ps /\ ch ) ) ) -> ps )

Proof of Theorem simp332

Step	Hyp	Ref	Expression
1		simp32 1098	. 2 |- ( ( th /\ ta /\ ( ph /\ ps /\ ch ) ) -> ps )
2	1	3ad2ant3 1084	1 |- ( ( et /\ ze /\ ( th /\ ta /\ ( ph /\ ps /\ ch ) ) ) -> ps )

Syntax hints:   -> wi 4   /\ 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:  ivthALT  32330  dalemclqjt  34921  dath2  35023  cdlema1N  35077  cdleme26eALTN  35649  cdlemk7u  36158  cdlemk11u  36159  cdlemk12u  36160  cdlemk23-3  36190  cdlemk33N  36197  cdlemk11ta  36217  cdlemk11tc  36233  cdlemk54  36246