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Mirrors > Home > ILE Home > Th. List > rexri | Unicode version |
Description: A standard real is an extended real (inference form.) (Contributed by David Moews, 28-Feb-2017.) |
Ref | Expression |
---|---|
rexri.1 |
Ref | Expression |
---|---|
rexri |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rexri.1 | . 2 | |
2 | rexr 7779 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: 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: cos12dec 11401 halfleoddlt 11518 sin0pilem2 12790 neghalfpirx 12802 sincosq1sgn 12834 sincosq2sgn 12835 sincosq4sgn 12837 sinq12gt0 12838 cosq14gt0 12840 cosq23lt0 12841 coseq0q4123 12842 coseq00topi 12843 coseq0negpitopi 12844 cosordlem 12857 cosq34lt1 12858 cos02pilt1 12859 taupi 13166 |
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