Theorem simp2lr 1096

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

Assertion

Ref	Expression
simp2lr	|- ( ( th /\ ( ( ph /\ ps ) /\ ch ) /\ ta ) -> ps )

Proof of Theorem simp2lr

Step	Hyp	Ref	Expression
1		simplr 533	. 2 |- ( ( ( ph /\ ps ) /\ ch ) -> ps )
2	1	3ad2ant2 1050	1 |- ( ( th /\ ( ( ph /\ ps ) /\ ch ) /\ ta ) -> ps )

This proof depends on syntax axioms:   -> wi 4   /\ wa 104   /\ w3a 1009

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108

This proof depends on definitions:  df-bi 117  df-3an 1011

This theorem is used by:  tfrlem5  6585  4sqlem18  13187