Theorem simpl2 959

Description: Simplification rule. (Contributed by Jeff Hankins, 17-Nov-2009.)

Assertion

Ref	Expression
simpl2	|- (((ph /\ ps /\ ch) /\ th) -> ps)

Proof of Theorem simpl2

Step	Hyp	Ref	Expression
1		simp2 956	. 2 |- ((ph /\ ps /\ ch) -> ps)
2	1	adantr 451	1 |- (((ph /\ ps /\ ch) /\ th) -> ps)

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:  simpll2  995  simprl2  1001  simp1l2  1049  simp2l2  1055  simp3l2  1061  3anandirs  1284  rspc3ev  2966  tfinltfin  4502  enadj  6061  lemuc2  6255