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Mirrors > Home > MPE Home > Th. List > necon1abii | Structured version Visualization version Unicode version |
Description: Contrapositive inference for inequality. (Contributed by NM, 17-Mar-2007.) (Proof shortened by Wolf Lammen, 25-Nov-2019.) |
Ref | Expression |
---|---|
necon1abii.1 |
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Ref | Expression |
---|---|
necon1abii |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | notnot 297 |
. 2
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2 | necon1abii.1 |
. . 3
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3 | 2 | necon3bbii 2671 |
. 2
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4 | 1, 3 | bitr2i 258 |
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 190 df-ne 2624 |
This theorem is referenced by: necon2abii 2674 marypha1lem 7934 npomex 9408 uniinn0 28174 |
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