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Mirrors > Home > NFE Home > Th. List > pm2.21dd | Unicode version |
Description: A contradiction implies anything. Deduction from pm2.21 100. (Contributed by Mario Carneiro, 9-Feb-2017.) |
Ref | Expression |
---|---|
pm2.21dd.1 |
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pm2.21dd.2 |
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Ref | Expression |
---|---|
pm2.21dd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.21dd.1 |
. 2
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2 | pm2.21dd.2 |
. . 3
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3 | 2 | pm2.21d 98 |
. 2
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4 | 1, 3 | mpd 14 |
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 is referenced by: pm2.21fal 1335 pm2.21ddne 2591 |
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