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Mirrors > Home > ILE Home > Th. List > dfop | Unicode version |
Description: Value of an ordered pair when the arguments are sets, with the conclusion corresponding to Kuratowski's original definition. (Contributed by NM, 25-Jun-1998.) |
Ref | Expression |
---|---|
dfop.1 | |
dfop.2 |
Ref | Expression |
---|---|
dfop |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfop.1 | . 2 | |
2 | dfop.2 | . 2 | |
3 | dfopg 3703 | . 2 | |
4 | 1, 2, 3 | mp2an 422 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1331 wcel 1480 cvv 2686 csn 3527 cpr 3528 cop 3530 |
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-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-11 1484 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-v 2688 df-op 3536 |
This theorem is referenced by: opid 3723 elop 4153 opi1 4154 opi2 4155 opeqsn 4174 opeqpr 4175 uniop 4177 op1stb 4399 xpsspw 4651 relop 4689 funopg 5157 |
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