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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 7069 | . 2 | |
2 | 1 | sseli 2941 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1393 cr 6888 cxr 7059 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-v 2559 df-un 2922 df-in 2924 df-ss 2931 df-xr 7064 |
This theorem is referenced by: rexri 7078 lenlt 7094 ltpnf 8702 mnflt 8704 xrltnsym 8714 xrlttr 8716 xrltso 8717 xrre 8733 xrre3 8735 xltnegi 8748 elioo4g 8803 elioc2 8805 elico2 8806 elicc2 8807 iccss 8810 iooshf 8821 iooneg 8856 icoshft 8858 elicc4abs 9690 icodiamlt 9776 |
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