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Mirrors > Home > ILE Home > Th. List > orimdidc | Unicode version |
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.) |
Ref | Expression |
---|---|
orimdidc | DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.76 720 | . 2 | |
2 | pm2.85dc 810 | . 2 DECID | |
3 | 1, 2 | impbid2 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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