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Mirrors > Home > ILE Home > Th. List > eusv1 | Unicode version |
Description: Two ways to express
single-valuedness of a class expression
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Ref | Expression |
---|---|
eusv1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sp 1489 |
. . . 4
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2 | sp 1489 |
. . . 4
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3 | eqtr3 2160 |
. . . 4
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4 | 1, 2, 3 | syl2an 287 |
. . 3
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5 | 4 | gen2 1427 |
. 2
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6 | eqeq1 2147 |
. . . 4
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7 | 6 | albidv 1797 |
. . 3
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8 | 7 | eu4 2062 |
. 2
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9 | 5, 8 | mpbiran2 926 |
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 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-sb 1737 df-eu 2003 df-mo 2004 df-cleq 2133 |
This theorem is referenced by: eusvnfb 4383 |
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