Theorem simp2r2 1164

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

Assertion

Ref	Expression
simp2r2	|- ( ( ta /\ ( th /\ ( ph /\ ps /\ ch ) ) /\ et ) -> ps )

Proof of Theorem simp2r2

Step	Hyp	Ref	Expression
1		simpr2 1068	. 2 |- ( ( th /\ ( ph /\ ps /\ ch ) ) -> ps )
2	1	3ad2ant2 1083	1 |- ( ( ta /\ ( th /\ ( ph /\ ps /\ ch ) ) /\ et ) -> ps )

Syntax hints:   -> wi 4   /\ wa 384   /\ w3a 1037

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-an 386  df-3an 1039

This theorem is referenced by:  btwnconn1lem12  32205  cdlemj3  36111  jm2.27  37575  iunrelexpmin2  38004