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Theorem pm2.04 76
Description: Swap antecedents. Theorem *2.04 of [WhiteheadRussell] p. 100. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 12-Sep-2012.)
Assertion
Ref Expression
pm2.04  |-  ( (
ph  ->  ( ps  ->  ch ) )  ->  ( ps  ->  ( ph  ->  ch ) ) )

Proof of Theorem pm2.04
StepHypRef Expression
1 id 19 . 2  |-  ( (
ph  ->  ( ps  ->  ch ) )  ->  ( ph  ->  ( ps  ->  ch ) ) )
21com23 72 1  |-  ( (
ph  ->  ( ps  ->  ch ) )  ->  ( ps  ->  ( ph  ->  ch ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4
This theorem is referenced by:  com34  77  com45  83  bi2.04  350  merco2  1491  ralcom3  2705  rexrsb  27947  syl5imp  28274  com3rgbi  28276  syl5impVD  28639  simplbi2comgVD  28664  19.41rgVD  28678  a9e2eqVD  28683
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 8
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