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Mirrors > Home > MPE Home > Th. List > bifal | Structured version Unicode version |
Description: A contradiction is equivalent to falsehood. (Contributed by Mario Carneiro, 9-May-2015.) |
Ref | Expression |
---|---|
bifal.1 |
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Ref | Expression |
---|---|
bifal |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bifal.1 |
. 2
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2 | fal 1377 |
. 2
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3 | 1, 2 | 2false 350 |
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 185 df-tru 1373 df-fal 1376 |
This theorem is referenced by: falantru 1396 trubifal 1409 bicontr 29020 aibnbaif 30061 ralnralall 30258 rusgra0edg 30713 frgrareg 30850 frgraregord013 30851 bj-df-nul 32821 |
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