Theorem simpl3r 1043

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

Assertion

Ref	Expression
simpl3r	|- ( ( ( ch /\ th /\ ( ph /\ ps ) ) /\ ta ) -> ps )

Proof of Theorem simpl3r

Step	Hyp	Ref	Expression
1		simp3r 1016	. 2 |- ( ( ch /\ th /\ ( ph /\ ps ) ) -> ps )
2	1	adantr 274	1 |- ( ( ( ch /\ th /\ ( ph /\ ps ) ) /\ ta ) -> ps )

Syntax hints:   -> wi 4   /\ wa 103   /\ w3a 968

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107

This theorem depends on definitions:  df-bi 116  df-3an 970

This theorem is referenced by:  tfisi  4564  ltmul1a  8489  lemul1a  8753  xrbdtri  11217  dvdscmulr  11760  dvdsmulcr  11761  dvdsadd2b  11780  pockthg  12287