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Mirrors > Home > NFE Home > Th. List > nancom | Unicode version |
Description: The 'nand' operator commutes. (Contributed by Mario Carneiro, 9-May-2015.) |
Ref | Expression |
---|---|
nancom |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ancom 437 | . . 3 | |
2 | 1 | notbii 287 | . 2 |
3 | df-nan 1288 | . 2 | |
4 | df-nan 1288 | . 2 | |
5 | 2, 3, 4 | 3bitr4i 268 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wb 176 wa 358 wnan 1287 |
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-an 360 df-nan 1288 |
This theorem is referenced by: nanbi2 1296 falnantru 1356 nincom 3226 |
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