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Mirrors > Home > NFE Home > Th. List > 2falsed | Unicode version |
Description: Two falsehoods are equivalent (deduction rule). (Contributed by NM, 11-Oct-2013.) |
Ref | Expression |
---|---|
2falsed.1 |
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2falsed.2 |
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Ref | Expression |
---|---|
2falsed |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2falsed.1 |
. . 3
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2 | 1 | pm2.21d 98 |
. 2
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3 | 2falsed.2 |
. . 3
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4 | 3 | pm2.21d 98 |
. 2
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5 | 2, 4 | impbid 183 |
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 177 |
This theorem is referenced by: pm5.21ni 341 bianfd 892 abvor0 3568 eqfnfv 5393 |
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