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Mirrors > Home > MPE Home > Th. List > Mathboxes > df3nandALT2 | Structured version Visualization version Unicode version |
Description: The double nand expressed in terms of negation and and not. (Contributed by Anthony Hart, 13-Sep-2011.) |
Ref | Expression |
---|---|
df3nandALT2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-3nand 32395 | . 2 | |
2 | imnan 438 | . . 3 | |
3 | 2 | imbi2i 326 | . 2 |
4 | imnan 438 | . . 3 | |
5 | 3anass 1042 | . . 3 | |
6 | 4, 5 | xchbinxr 325 | . 2 |
7 | 1, 3, 6 | 3bitri 286 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wb 196 wa 384 w3a 1037 w3nand 32394 |
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 197 df-an 386 df-3an 1039 df-3nand 32395 |
This theorem is referenced by: (None) |
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