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Mirrors > Home > ILE Home > Th. List > ori | Unicode version |
Description: Infer implication from disjunction. (Contributed by NM, 11-Jun-1994.) (Revised by Mario Carneiro, 31-Jan-2015.) |
Ref | Expression |
---|---|
ori.1 |
Ref | Expression |
---|---|
ori |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ori.1 | . 2 | |
2 | pm2.53 641 | . 2 | |
3 | 1, 2 | ax-mp 7 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wo 629 |
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 630 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: 3ori 1195 mtpor 1316 ax-12 1402 sbal1yz 1877 dvelimALT 1886 dvelimfv 1887 |
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