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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 2206 | . . 3 | |
3 | 1, 2 | syl6ib 150 | . 2 |
4 | 3 | con2d 554 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wceq 1243 wne 2204 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-in1 544 ax-in2 545 |
This theorem depends on definitions: df-bi 110 df-ne 2206 |
This theorem is referenced by: nneo 8341 zeo2 8344 sqrt2irr 9878 |
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