Theorem simplr2 1064

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

Assertion

Ref	Expression
simplr2	|- ( ( ( th /\ ( ph /\ ps /\ ch ) ) /\ ta ) -> ps )

Proof of Theorem simplr2

Step	Hyp	Ref	Expression
1		simpr2 1028	. 2 |- ( ( th /\ ( ph /\ ps /\ ch ) ) -> ps )
2	1	adantr 276	1 |- ( ( ( th /\ ( ph /\ ps /\ ch ) ) /\ ta ) -> ps )

Syntax hints:   -> wi 4   /\ wa 104   /\ w3a 1002

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108

This theorem depends on definitions:  df-bi 117  df-3an 1004

This theorem is referenced by:  prarloclemlt  7676  prarloclemlo  7677  seq3f1oleml  10733  ccatswrd  11197  resqrexlemdecn  11518  pcdvdstr  12845  ennnfoneleminc  12977  prdssgrpd  13443  prdsmndd  13476  grprcan  13565  mulgnn0dir  13684  lmodprop2d  14306  lssintclm  14342  psrbaglesuppg  14630  restopnb  14849  cnptopresti  14906  blsscls2  15161