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Mirrors > Home > ILE Home > Th. List > rexr | Unicode version |
Description: A standard real is an extended real. (Contributed by NM, 14-Oct-2005.) |
Ref | Expression |
---|---|
rexr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ressxr 7777 | . 2 | |
2 | 1 | sseli 3063 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1465 cr 7587 cxr 7767 |
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 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-v 2662 df-un 3045 df-in 3047 df-ss 3054 df-xr 7772 |
This theorem is referenced by: rexri 7791 lenlt 7808 ltpnf 9535 mnflt 9537 xrltnsym 9547 xrlttr 9549 xrltso 9550 xrre 9571 xrre3 9573 xltnegi 9586 rexadd 9603 xaddnemnf 9608 xaddnepnf 9609 xaddcom 9612 xnegdi 9619 xpncan 9622 xnpcan 9623 xleadd1a 9624 xleadd1 9626 xltadd1 9627 xltadd2 9628 xsubge0 9632 xposdif 9633 elioo4g 9685 elioc2 9687 elico2 9688 elicc2 9689 iccss 9692 iooshf 9703 iooneg 9739 icoshft 9741 qbtwnxr 10003 modqmuladdim 10108 elicc4abs 10834 icodiamlt 10920 xrmaxrecl 10992 xrmaxaddlem 10997 xrminrecl 11010 bl2in 12499 blssps 12523 blss 12524 reopnap 12634 bl2ioo 12638 blssioo 12641 sincosq2sgn 12835 sincosq3sgn 12836 sincos6thpi 12850 |
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