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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 7809 | . 2 | |
2 | 1 | sseli 3093 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1480 cr 7619 cxr 7799 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 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-tru 1334 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-v 2688 df-un 3075 df-in 3077 df-ss 3084 df-xr 7804 |
This theorem is referenced by: rexri 7823 lenlt 7840 ltpnf 9567 mnflt 9569 xrltnsym 9579 xrlttr 9581 xrltso 9582 xrre 9603 xrre3 9605 xltnegi 9618 rexadd 9635 xaddnemnf 9640 xaddnepnf 9641 xaddcom 9644 xnegdi 9651 xpncan 9654 xnpcan 9655 xleadd1a 9656 xleadd1 9658 xltadd1 9659 xltadd2 9660 xsubge0 9664 xposdif 9665 elioo4g 9717 elioc2 9719 elico2 9720 elicc2 9721 iccss 9724 iooshf 9735 iooneg 9771 icoshft 9773 qbtwnxr 10035 modqmuladdim 10140 elicc4abs 10866 icodiamlt 10952 xrmaxrecl 11024 xrmaxaddlem 11029 xrminrecl 11042 bl2in 12572 blssps 12596 blss 12597 reopnap 12707 bl2ioo 12711 blssioo 12714 sincosq2sgn 12908 sincosq3sgn 12909 sincos6thpi 12923 |
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