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Mirrors > Home > ILE Home > Th. List > climrel | Unicode version |
Description: The limit relation is a relation. (Contributed by NM, 28-Aug-2005.) (Revised by Mario Carneiro, 31-Jan-2014.) |
Ref | Expression |
---|---|
climrel |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-clim 10118 | . 2 | |
2 | 1 | relopabi 4481 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 102 wcel 1433 wral 2348 wrex 2349 class class class wbr 3785 wrel 4368 cfv 4922 (class class class)co 5532 cc 6979 clt 7153 cmin 7279 cz 8351 cuz 8619 crp 8734 cabs 9883 cli 10117 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-14 1445 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 ax-sep 3896 ax-pow 3948 ax-pr 3964 |
This theorem depends on definitions: df-bi 115 df-3an 921 df-tru 1287 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-nfc 2208 df-ral 2353 df-rex 2354 df-v 2603 df-un 2977 df-in 2979 df-ss 2986 df-pw 3384 df-sn 3404 df-pr 3405 df-op 3407 df-opab 3840 df-xp 4369 df-rel 4370 df-clim 10118 |
This theorem is referenced by: clim 10120 climcl 10121 climi 10126 fclim 10133 climrecl 10162 iiserex 10177 climrecvg1n 10185 climcvg1nlem 10186 |
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