Theorem con3rr3 563

Description: Rotate through consequent right. (Contributed by Wolf Lammen, 3-Nov-2013.)

Hypothesis

Ref	Expression
con3rr3.1	|- ( ph -> ( ps -> ch ) )

Assertion

Ref	Expression
con3rr3	|- ( -. ch -> ( ph -> -. ps ) )

Proof of Theorem con3rr3

Step	Hyp	Ref	Expression
1		con3rr3.1	. . 3 |- ( ph -> ( ps -> ch ) )
2	1	con3d 561	. 2 |- ( ph -> ( -. ch -> -. ps ) )
3	2	com12 27	1 |- ( -. ch -> ( ph -> -. ps ) )

Syntax hints:   -. wn 3   -> wi 4

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-in1 544  ax-in2 545

This theorem is referenced by:  imnan  624  snnen2og  6322