Theorem ad2antrl 708

Description: Deduction adding two conjuncts to antecedent. (Contributed by NM, 19-Oct-1999.)

Hypothesis

Ref	Expression
ad2ant.1	|- (ph -> ps)

Assertion

Ref	Expression
ad2antrl	|- ((ch /\ (ph /\ th)) -> ps)

Proof of Theorem ad2antrl

Step	Hyp	Ref	Expression
1		ad2ant.1	. . 3 |- (ph -> ps)
2	1	adantr 451	. 2 |- ((ph /\ th) -> ps)
3	2	adantl 452	1 |- ((ch /\ (ph /\ th)) -> ps)

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:  simprl  732  simprll  738  simprlr  739  preaddccan2  4455  ncfinlower  4483  tfinnn  4534  sfinltfin  4535  enadjlem1  6059  sbthlem3  6205  nchoicelem17  6305  nchoice  6308