Theorem simprl2 1045

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

Assertion

Ref	Expression
simprl2	|- ( ( ta /\ ( ( ph /\ ps /\ ch ) /\ th ) ) -> ps )

Proof of Theorem simprl2

Step	Hyp	Ref	Expression
1		simpl2 1003	. 2 |- ( ( ( ph /\ ps /\ ch ) /\ th ) -> ps )
2	1	adantl 277	1 |- ( ( ta /\ ( ( ph /\ ps /\ ch ) /\ th ) ) -> ps )

Syntax hints:   -> wi 4   /\ wa 104   /\ w3a 980

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 982

This theorem is referenced by:  prarloc  7531  icodiamlt  11220  summodc  11422  prodmodc  11617