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Theorem mpan9 455
Description: Modus ponens conjoining dissimilar antecedents. (Contributed by NM, 1-Feb-2008.) (Proof shortened by Andrew Salmon, 7-May-2011.)
Hypotheses
Ref Expression
mpan9.1
mpan9.2
Assertion
Ref Expression
mpan9

Proof of Theorem mpan9
StepHypRef Expression
1 mpan9.1 . . 3
2 mpan9.2 . . 3
31, 2syl5 28 . 2
43impcom 419 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358
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-an 360
This theorem is referenced by:  sylan  457  vtocl2gf  2916  vtocl3gf  2917  vtoclegft  2926  sbcthdv  3061  nnsucelr  4428  nnadjoin  4520  sfintfin  4532  funiunfv  5467  isorel  5489  caovcld  5622  caovcomg  5624  caovassg  5626  caovdig  5632  caovdirg  5633
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