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Mirrors > Home > NFE Home > Th. List > exmidne | Unicode version |
Description: Excluded middle with equality and inequality. (Contributed by NM, 3-Feb-2012.) |
Ref | Expression |
---|---|
exmidne |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | exmid 404 | . 2 | |
2 | df-ne 2518 | . . 3 | |
3 | 2 | orbi2i 505 | . 2 |
4 | 1, 3 | mpbir 200 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wo 357 wceq 1642 wne 2516 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 df-or 359 df-ne 2518 |
This theorem is referenced by: (None) |
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