Theorem simpl3r 1077

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 1050	. 2 |- ( ( ch /\ th /\ ( ph /\ ps ) ) -> ps )
2	1	adantr 276	1 |- ( ( ( ch /\ th /\ ( ph /\ ps ) ) /\ 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:  tfisi  4678  ltmul1a  8734  lemul1a  9001  swrdsbslen  11193  swrdspsleq  11194  xrbdtri  11782  dvdscmulr  12326  dvdsmulcr  12327  dvdsadd2b  12346  pockthg  12875