Theorem pm2.24d 623

Description: Deduction version of pm2.24 622. (Contributed by NM, 30-Jan-2006.) (Revised by Mario Carneiro, 31-Jan-2015.)

Hypothesis

Ref	Expression
pm2.24d.1	|- ( ph -> ps )

Assertion

Ref	Expression
pm2.24d	|- ( ph -> ( -. ps -> ch ) )

Proof of Theorem pm2.24d

Step	Hyp	Ref	Expression
1		pm2.24d.1	. 2 |- ( ph -> ps )
2		pm2.24 622	. 2 |- ( ps -> ( -. ps -> ch ) )
3	1, 2	syl 14	1 |- ( ph -> ( -. ps -> ch ) )

Syntax hints:   -. wn 3   -> wi 4

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-in2 616

This theorem is referenced by:  pm2.5gdc  867  reldmtpos  6311  nn0o1gt2  12070