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Mathbox for Anthony Hart |
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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 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-3nand 31056 |
. 2
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2 | imnan 424 |
. . 3
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3 | 2 | imbi2i 314 |
. 2
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4 | imnan 424 |
. . 3
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5 | 3anass 989 |
. . 3
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6 | 4, 5 | xchbinxr 313 |
. 2
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7 | 1, 3, 6 | 3bitri 275 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() |
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 189 df-an 373 df-3an 987 df-3nand 31056 |
This theorem is referenced by: (None) |
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