Theorem pm2.43d 50

Description: Deduction absorbing redundant antecedent. (Contributed by NM, 18-Aug-1993.) (Proof shortened by O'Cat, 28-Nov-2008.)

Hypothesis

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

Assertion

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

Proof of Theorem pm2.43d

Step	Hyp	Ref	Expression
1		id 19	. 2 |- ( ps -> ps )
2		pm2.43d.1	. 2 |- ( ph -> ( ps -> ( ps -> ch ) ) )
3	1, 2	mpdi 43	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:  loolin  102  pm2.18dc  860  sbcof2  1856  rgen2a  2584  rspct  2900  po2nr  4400  ordsuc  4655  funssres  5360  2elresin  5434  f1imass  5904  smoel  6452  tfri3  6519  nnmass  6641  sbthlem1  7135  genpcdl  7717  genpcuu  7718  recexprlemss1l  7833  recexprlemss1u  7834  grpid  13587  uniopn  14690  elabgft1  16197  bj-rspgt  16205