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| Mirrors > Home > ILE Home > Th. List > neeq2d | Unicode version | ||
| Description: Deduction for inequality. (Contributed by NM, 25-Oct-1999.) |
| Ref | Expression |
|---|---|
| neeq1d.1 |
|
| Ref | Expression |
|---|---|
| neeq2d |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | neeq1d.1 |
. 2
| |
| 2 | neeq2 2390 |
. 2
| |
| 3 | 1, 2 | syl 14 |
1
|
| Colors of variables: wff set class |
| Syntax hints: |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-in1 615 ax-in2 616 ax-5 1470 ax-gen 1472 ax-4 1533 ax-17 1549 ax-ext 2187 |
| This theorem depends on definitions: df-bi 117 df-cleq 2198 df-ne 2377 |
| This theorem is referenced by: neeq12d 2396 neeqtrd 2404 sqrt2irr 12484 ennnfonelemk 12771 ennnfoneleminc 12782 ennnfonelemex 12785 ennnfonelemnn0 12793 ennnfonelemr 12794 setscomd 12873 |
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