Theorem simprrl 740

Description: Simplification of a conjunction. (Contributed by Jeff Hankins, 28-Jul-2009.)

Assertion

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

Proof of Theorem simprrl

Step	Hyp	Ref	Expression
1		simpl 443	. 2 |- ((ch /\ th) -> ch)
2	1	ad2antll 709	1 |- ((ph /\ (ps /\ (ch /\ th))) -> ch)

Syntax hints:   -> wi 4   /\ wa 358

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

This theorem is referenced by:  nnsucelr  4428  ncfinraise  4481  ncfinlower  4483  tfin11  4493  sfin112  4529  sfintfin  4532  sfinltfin  4535