Theorem pm2.43b 52

Description: Inference absorbing redundant antecedent. (Contributed by NM, 31-Oct-1995.)

Hypothesis

Ref	Expression
pm2.43b.1	|- ( ps -> ( ph -> ( ps -> ch ) ) )

Assertion

Ref	Expression
pm2.43b	|- ( ph -> ( ps -> ch ) )

Proof of Theorem pm2.43b

Step	Hyp	Ref	Expression
1		pm2.43b.1	. . 3 |- ( ps -> ( ph -> ( ps -> ch ) ) )
2	1	pm2.43a 51	. 2 |- ( ps -> ( ph -> ch ) )
3	2	com12 30	1 |- ( ph -> ( ps -> ch ) )

Syntax hints:   -> wi 4

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7

This theorem is referenced by:  trel  4033  trss  4035  elirr  4456  en2lp  4469  funfvima  5649  nnmulcl  8741  ico0  10039  ioc0  10040  bj-nn0sucALT  13176