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Mirrors > Home > ILE Home > Th. List > necon1ddc | Unicode version |
Description: Contrapositive law deduction for inequality. (Contributed by Jim Kingdon, 19-May-2018.) |
Ref | Expression |
---|---|
necon1ddc.1 |
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Ref | Expression |
---|---|
necon1ddc |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ne 2281 |
. 2
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2 | necon1ddc.1 |
. . 3
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3 | 2 | necon1bddc 2357 |
. 2
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4 | 1, 3 | syl7bi 164 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in1 586 ax-in2 587 ax-io 681 |
This theorem depends on definitions: df-bi 116 df-stab 799 df-dc 803 df-ne 2281 |
This theorem is referenced by: xblss2ps 12387 xblss2 12388 |
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