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Axiom ax-ia3 106
Description: 'And' introduction. One of the axioms of propositional logic. (Contributed by Mario Carneiro, 31-Jan-2015.)
Assertion
Ref Expression
ax-ia3  |-  ( ph  ->  ( ps  ->  ( ph  /\  ps ) ) )

Detailed syntax breakdown of Axiom ax-ia3
StepHypRef Expression
1 wph . 2  wff  ph
2 wps . . 3  wff  ps
31, 2wa 102 . . 3  wff  ( ph  /\ 
ps )
42, 3wi 4 . 2  wff  ( ps 
->  ( ph  /\  ps ) )
51, 4wi 4 1  wff  ( ph  ->  ( ps  ->  ( ph  /\  ps ) ) )
Colors of variables: wff set class
This axiom is referenced by:  ex  113  pm3.2  137  pm5.54dc  861  pclem6  1306  xoranor  1309  ax10oe  1720  2pwuninelg  5952  dmaddpq  6683  dmmulpq  6684  ltsopr  6900  ax1hfs  11053
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