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Mirrors > Home > MPE Home > Th. List > 3ori | Structured version Visualization version Unicode version |
Description: Infer implication from triple disjunction. (Contributed by NM, 26-Sep-2006.) |
Ref | Expression |
---|---|
3ori.1 |
Ref | Expression |
---|---|
3ori |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ioran 511 | . 2 | |
2 | 3ori.1 | . . . 4 | |
3 | df-3or 1038 | . . . 4 | |
4 | 2, 3 | mpbi 220 | . . 3 |
5 | 4 | ori 390 | . 2 |
6 | 1, 5 | sylbir 225 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wo 383 wa 384 w3o 1036 |
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 df-an 386 df-3or 1038 |
This theorem is referenced by: rankxplim3 8744 |
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