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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
StepHypRef Expression
1 pm3.21 260 . 2  |-  ( ph  ->  ( ps  ->  ( ps  /\  ph ) ) )
21imp 122 1  |-  ( (
ph  /\  ps )  ->  ( ps  /\  ph ) )
Colors of variables: wff set class
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  531  ancom1s  534  eupickb  2023  enq0sym  6684  bj-peano4  10908
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