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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 7811 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: 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: cos12dec 11474 halfleoddlt 11591 sin0pilem2 12863 neghalfpirx 12875 sincosq1sgn 12907 sincosq2sgn 12908 sincosq4sgn 12910 sinq12gt0 12911 cosq14gt0 12913 cosq23lt0 12914 coseq0q4123 12915 coseq00topi 12916 coseq0negpitopi 12917 cosordlem 12930 cosq34lt1 12931 cos02pilt1 12932 taupi 13239 |
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