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Mirrors > Home > MPE Home > Th. List > orimdi | Structured version Visualization version Unicode version |
Description: Disjunction distributes over implication. (Contributed by Wolf Lammen, 5-Jan-2013.) |
Ref | Expression |
---|---|
orimdi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | imdi 378 | . 2 | |
2 | df-or 385 | . 2 | |
3 | df-or 385 | . . 3 | |
4 | df-or 385 | . . 3 | |
5 | 3, 4 | imbi12i 340 | . 2 |
6 | 1, 2, 5 | 3bitr4i 292 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wb 196 wo 383 |
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 197 df-or 385 |
This theorem is referenced by: pm2.76 893 pm2.85 898 |
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