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Mirrors > Home > ILE Home > Th. List > imorri | Unicode version |
Description: Infer implication from disjunction. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (Revised by Mario Carneiro, 31-Jan-2015.) |
Ref | Expression |
---|---|
imorri.1 |
Ref | Expression |
---|---|
imorri |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | imorri.1 | . 2 | |
2 | pm2.21 612 | . . 3 | |
3 | ax-1 6 | . . 3 | |
4 | 2, 3 | jaoi 711 | . 2 |
5 | 1, 4 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wo 703 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in2 610 ax-io 704 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: (None) |
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