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Mirrors > Home > ILE Home > Th. List > neeq12d | Unicode version |
Description: Deduction for inequality. (Contributed by NM, 24-Jul-2012.) |
Ref | Expression |
---|---|
neeq1d.1 |
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neeq12d.2 |
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Ref | Expression |
---|---|
neeq12d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | neeq1d.1 |
. . 3
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2 | 1 | neeq1d 2378 |
. 2
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3 | neeq12d.2 |
. . 3
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4 | 3 | neeq2d 2379 |
. 2
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5 | 2, 4 | bitrd 188 |
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-ia2 107 ax-ia3 108 ax-in1 615 ax-in2 616 ax-5 1458 ax-gen 1460 ax-4 1521 ax-17 1537 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-cleq 2182 df-ne 2361 |
This theorem is referenced by: 3netr3d 2392 3netr4d 2393 exmidapne 7288 ennnfonelemim 12474 ctinfom 12478 isnzr 13528 apdiff 15250 |
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