Theorem simp323 1213

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

Assertion

Ref	Expression
simp323	|- ( ( et /\ ze /\ ( th /\ ( ph /\ ps /\ ch ) /\ ta ) ) -> ch )

Proof of Theorem simp323

Step	Hyp	Ref	Expression
1		simp23 1096	. 2 |- ( ( th /\ ( ph /\ ps /\ ch ) /\ ta ) -> ch )
2	1	3ad2ant3 1084	1 |- ( ( et /\ ze /\ ( th /\ ( ph /\ ps /\ ch ) /\ ta ) ) -> ch )

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:  dalemrot  34943  dath2  35023  cdleme18d  35582  cdleme20i  35605  cdleme20j  35606  cdleme20l2  35609  cdleme20l  35610  cdleme20m  35611  cdleme20  35612  cdleme21j  35624  cdleme22eALTN  35633  cdleme26eALTN  35649  cdlemk16a  36144  cdlemk12u-2N  36178  cdlemk21-2N  36179  cdlemk22  36181  cdlemk31  36184  cdlemk11ta  36217