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Theorem orri 365
Description: Infer implication from disjunction. (Contributed by NM, 11-Jun-1994.)
Hypothesis
Ref Expression
orri.1
Assertion
Ref Expression
orri

Proof of Theorem orri
StepHypRef Expression
1 orri.1 . 2
2 df-or 359 . 2
31, 2mpbir 200 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4   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:  orci  379  olci  380  pm2.25  393  exmid  404  pm2.13  407  pm3.12  486  pm5.11  854  pm5.12  855  pm5.14  856  pm5.15  859  pm5.55  867  pm5.54  870  rb-ax2  1518  rb-ax3  1519  rb-ax4  1520  exmo  2249  abvor0  3567  ifeqor  3699
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