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Theorem anmp 1516
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
anmp.maj
Assertion
Ref Expression
anmp

Proof of Theorem anmp
StepHypRef Expression
1 anmp.min . 2
2 anmp.maj . . 3
32imorri 403 . 2
41, 3ax-mp 5 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wo 357
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 177  df-or 359
This theorem is referenced by:  rbsyl  1521  rblem1  1522  rblem2  1523  rblem4  1525  rblem5  1526  rblem6  1527  rblem7  1528  re1axmp  1529  re2luk1  1530  re2luk2  1531  re2luk3  1532
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