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Mirrors > Home > ILE Home > Th. List > 3ori | 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 669 | . 2 | |
2 | 3ori.1 | . . . 4 | |
3 | df-3or 886 | . . . 4 | |
4 | 2, 3 | mpbi 133 | . . 3 |
5 | 4 | ori 642 | . 2 |
6 | 1, 5 | sylbir 125 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 97 wo 629 w3o 884 |
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-in1 544 ax-in2 545 ax-io 630 |
This theorem depends on definitions: df-bi 110 df-3or 886 |
This theorem is referenced by: (None) |
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