Theorem simpr3 963

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

Assertion

Ref	Expression
simpr3	|- ((ph /\ (ps /\ ch /\ th)) -> th)

Proof of Theorem simpr3

Step	Hyp	Ref	Expression
1		simp3 957	. 2 |- ((ps /\ ch /\ th) -> th)
2	1	adantl 452	1 |- ((ph /\ (ps /\ ch /\ th)) -> th)

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:  simplr3  999  simprr3  1005  simp1r3  1053  simp2r3  1059  simp3r3  1065  3anandis  1283