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Mirrors > Home > ILE Home > Th. List > necon2bd | Unicode version |
Description: Contrapositive inference for inequality. (Contributed by NM, 13-Apr-2007.) |
Ref | Expression |
---|---|
necon2bd.1 |
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Ref | Expression |
---|---|
necon2bd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | necon2bd.1 |
. . 3
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2 | df-ne 2361 |
. . 3
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3 | 1, 2 | imbitrdi 161 |
. 2
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4 | 3 | con2d 625 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-in1 615 ax-in2 616 |
This theorem depends on definitions: df-bi 117 df-ne 2361 |
This theorem is referenced by: disjiun 4013 map0g 6706 nneo 9374 zeo2 9377 bezoutr1 12052 coprm 12162 sqrt2irr 12180 dfphi2 12238 bj-charfunr 14959 nconstwlpolem 15211 |
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