Theorem con1 120

Description: Contraposition. Theorem *2.15 of [WhiteheadRussell] p. 102. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 12-Feb-2013.)

Assertion

Ref	Expression
con1	|- ((-. ph -> ps) -> (-. ps -> ph))

Proof of Theorem con1

Step	Hyp	Ref	Expression
1		id 19	. 2 |- ((-. ph -> ps) -> (-. ph -> ps))
2	1	con1d 116	1 |- ((-. ph -> ps) -> (-. ps -> ph))

Syntax hints:  -. wn 3   -> wi 4

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem is referenced by:  con1b  323  ax12olem3  1929