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Theorem imorri 415
Description: Infer implication from disjunction. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.)
Hypothesis
Ref Expression
imorri.1  |-  ( -. 
ph  \/  ps )
Assertion
Ref Expression
imorri  |-  ( ph  ->  ps )

Proof of Theorem imorri
StepHypRef Expression
1 imorri.1 . 2  |-  ( -. 
ph  \/  ps )
2 imor 413 . 2  |-  ( (
ph  ->  ps )  <->  ( -.  ph  \/  ps ) )
31, 2mpbir 212 1  |-  ( ph  ->  ps )
Colors of variables: wff setvar class
Syntax hints:   -. wn 3    -> wi 4    \/ wo 369
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 188  df-or 371
This theorem is referenced by:  anmp  1628  meran2  31021  meran3  31022
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