Theorem simp2rl 1024

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

Assertion

Ref	Expression
simp2rl	|- ((th /\ (ch /\ (ph /\ ps)) /\ ta) -> ph)

Proof of Theorem simp2rl

Step	Hyp	Ref	Expression
1		simprl 732	. 2 |- ((ch /\ (ph /\ ps)) -> ph)
2	1	3ad2ant2 977	1 |- ((th /\ (ch /\ (ph /\ ps)) /\ ta) -> ph)

Syntax hints:   -> wi 4   /\ wa 358   /\ w3a 934

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 177  df-an 360  df-3an 936

This theorem is referenced by:  nnpw1ex  4485  nnpweq  4524  sfinltfin  4536