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Mirrors > Home > ILE Home > Th. List > necon2bd | Unicode version |
Description: Contrapositive inference for inequality. (Contributed by NM, 13-Apr-2007.) |
Ref | Expression |
---|---|
necon2bd.1 |
Ref | Expression |
---|---|
necon2bd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | necon2bd.1 | . . 3 | |
2 | df-ne 2341 | . . 3 | |
3 | 1, 2 | syl6ib 160 | . 2 |
4 | 3 | con2d 619 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wceq 1348 wne 2340 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-in1 609 ax-in2 610 |
This theorem depends on definitions: df-bi 116 df-ne 2341 |
This theorem is referenced by: disjiun 3982 map0g 6662 nneo 9302 zeo2 9305 bezoutr1 11975 coprm 12085 sqrt2irr 12103 dfphi2 12161 bj-charfunr 13805 nconstwlpolem 14056 |
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