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Theorem orimdidc 811
Description: Disjunction distributes over implication. The forward direction, pm2.76 720, is valid intuitionistically. The reverse direction holds if is decidable, as can be seen at pm2.85dc 810. (Contributed by Jim Kingdon, 1-Apr-2018.)
Assertion
Ref Expression
orimdidc DECID

Proof of Theorem orimdidc
StepHypRef Expression
1 pm2.76 720 . 2
2 pm2.85dc 810 . 2 DECID
31, 2impbid2 131 1 DECID
Colors of variables: wff set class
Syntax hints:   wi 4   wb 98   wo 628  DECID wdc 741
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-in2 545  ax-io 629
This theorem depends on definitions:  df-bi 110  df-dc 742
This theorem is referenced by:  orbididc  859
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