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Mirrors > Home > NFE Home > Th. List > neirr | Unicode version |
Description: No class is unequal to itself. (Contributed by Stefan O'Rear, 1-Jan-2015.) |
Ref | Expression |
---|---|
neirr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqid 2353 | . 2 | |
2 | nne 2520 | . 2 | |
3 | 1, 2 | mpbir 200 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wceq 1642 wne 2516 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-cleq 2346 df-ne 2518 |
This theorem is referenced by: neldifsn 3841 ltcirr 6272 |
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