Theorem simpll2 944

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

Assertion

Ref	Expression
simpll2	|- ( ( ( ( ph /\ ps /\ ch ) /\ th ) /\ ta ) -> ps )

Proof of Theorem simpll2

Step	Hyp	Ref	Expression
1		simpl2 908	. 2 |- ( ( ( ph /\ ps /\ ch ) /\ th ) -> ps )
2	1	adantr 261	1 |- ( ( ( ( ph /\ ps /\ ch ) /\ th ) /\ ta ) -> ps )

Syntax hints:   -> wi 4   /\ wa 97   /\ w3a 885

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100

This theorem depends on definitions:  df-bi 110  df-3an 887

This theorem is referenced by:  fidceq  6330  fidifsnen  6331  cauappcvgprlemlol  6745  caucvgprlemlol  6768  caucvgprprlemlol  6796  elfzonelfzo  9086  qbtwnre  9111  expival  9257  subcn2  9832