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Theorem mp2ani 678
Description: An inference based on modus ponens. (Contributed by NM, 12-Dec-2004.)
Hypotheses
Ref Expression
mp2ani.1
mp2ani.2
mp2ani.3
Assertion
Ref Expression
mp2ani

Proof of Theorem mp2ani
StepHypRef Expression
1 mp2ani.2 . 2
2 mp2ani.1 . . 3
3 mp2ani.3 . . 3
42, 3mpani 676 . 2
51, 4mpi 17 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  /\wa 369
This theorem is referenced by:  dfom3  8085  dfac5lem4  8528  dfac9  8537  cflem  8647  canthp1lem2  9052  addsrpr  9473  mulsrpr  9474  gcdaddmlem  14166  sto1i  27155  stji1i  27161  kur14lem9  28658  dfon2lem4  29218
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 185  df-an 371
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