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Theorem anmp 1525
Description: Modus ponens for  \/  -. axiom systems. (Contributed by Anthony Hart, 12-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
anmp.min  |-  ph
anmp.maj  |-  ( -. 
ph  \/  ps )
Assertion
Ref Expression
anmp  |-  ps

Proof of Theorem anmp
StepHypRef Expression
1 anmp.min . 2  |-  ph
2 anmp.maj . . 3  |-  ( -. 
ph  \/  ps )
32imorri 404 . 2  |-  ( ph  ->  ps )
41, 3ax-mp 8 1  |-  ps
Colors of variables: wff set class
Syntax hints:   -. wn 3    \/ wo 358
This theorem is referenced by:  rbsyl  1530  rblem1  1531  rblem2  1532  rblem4  1534  rblem5  1535  rblem6  1536  rblem7  1537  re1axmp  1538  re2luk1  1539  re2luk2  1540  re2luk3  1541
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 178  df-or 360
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