Theorem simpr2r 1024

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

Assertion

Ref	Expression
simpr2r	|- ( ( ta /\ ( ch /\ ( ph /\ ps ) /\ th ) ) -> ps )

Proof of Theorem simpr2r

Step	Hyp	Ref	Expression
1		simp2r 991	. 2 |- ( ( ch /\ ( ph /\ ps ) /\ th ) -> ps )
2	1	adantl 273	1 |- ( ( ta /\ ( ch /\ ( ph /\ ps ) /\ th ) ) -> ps )

Syntax hints:   -> wi 4   /\ wa 103   /\ w3a 945

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

This theorem depends on definitions:  df-bi 116  df-3an 947

This theorem is referenced by: (None)