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Mirrors > Home > ILE Home > Th. List > neeqtrd | Unicode version |
Description: Substitution of equal classes into an inequality. (Contributed by NM, 4-Jul-2012.) |
Ref | Expression |
---|---|
neeqtrd.1 |
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neeqtrd.2 |
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Ref | Expression |
---|---|
neeqtrd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | neeqtrd.1 |
. 2
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2 | neeqtrd.2 |
. . 3
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3 | 2 | neeq2d 2366 |
. 2
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4 | 1, 3 | mpbid 147 |
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 614 ax-in2 615 ax-5 1447 ax-gen 1449 ax-4 1510 ax-17 1526 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-cleq 2170 df-ne 2348 |
This theorem is referenced by: neeqtrrd 2377 xaddass2 9866 modsumfzodifsn 10391 |
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