Theorem pm3.22 261

Description: Theorem *3.22 of [WhiteheadRussell] p. 111. (Contributed by NM, 3-Jan-2005.) (Proof shortened by Wolf Lammen, 13-Nov-2012.)

Assertion

Ref	Expression
pm3.22	|- ( ( ph /\ ps ) -> ( ps /\ ph ) )

Proof of Theorem pm3.22

Step	Hyp	Ref	Expression
1		pm3.21 260	. 2 |- ( ph -> ( ps -> ( ps /\ ph ) ) )
2	1	imp 122	1 |- ( ( ph /\ ps ) -> ( ps /\ ph ) )

Syntax hints:   -> wi 4   /\ wa 102

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106

This theorem is referenced by:  ancom  262  ancom2s  530  ancom1s  533  eupickb  2022  enq0sym  6622  bj-peano4  10750