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Mirrors > Home > ILE Home > Th. List > necon3abid | Unicode version |
Description: Deduction from equality to inequality. (Contributed by NM, 21-Mar-2007.) |
Ref | Expression |
---|---|
necon3abid.1 |
Ref | Expression |
---|---|
necon3abid |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ne 2341 | . 2 | |
2 | necon3abid.1 | . . 3 | |
3 | 2 | notbid 662 | . 2 |
4 | 1, 3 | syl5bb 191 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wb 104 wceq 1348 wne 2340 |
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-in1 609 ax-in2 610 |
This theorem depends on definitions: df-bi 116 df-ne 2341 |
This theorem is referenced by: necon3bbid 2380 fndmdif 5598 expnegap0 10471 gcdn0gt0 11920 cncongr2 12045 |
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