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Mirrors > Home > ILE Home > Th. List > neeq12d | Unicode version |
Description: Deduction for inequality. (Contributed by NM, 24-Jul-2012.) |
Ref | Expression |
---|---|
neeq1d.1 | |
neeq12d.2 |
Ref | Expression |
---|---|
neeq12d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | neeq1d.1 | . . 3 | |
2 | 1 | neeq1d 2303 | . 2 |
3 | neeq12d.2 | . . 3 | |
4 | 3 | neeq2d 2304 | . 2 |
5 | 2, 4 | bitrd 187 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1316 wne 2285 |
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 588 ax-in2 589 ax-5 1408 ax-gen 1410 ax-4 1472 ax-17 1491 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-cleq 2110 df-ne 2286 |
This theorem is referenced by: 3netr3d 2317 3netr4d 2318 ennnfonelemim 11864 ctinfom 11868 |
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