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Mirrors > Home > ILE Home > Th. List > 9re | Unicode version |
Description: The number 9 is real. (Contributed by NM, 27-May-1999.) |
Ref | Expression |
---|---|
9re |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-9 8779 | . 2 | |
2 | 8re 8798 | . . 3 | |
3 | 1re 7758 | . . 3 | |
4 | 2, 3 | readdcli 7772 | . 2 |
5 | 1, 4 | eqeltri 2210 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 1480 (class class class)co 5767 cr 7612 c1 7614 caddc 7616 c8 8770 c9 8771 |
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-5 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-4 1487 ax-17 1506 ax-ial 1514 ax-ext 2119 ax-1re 7707 ax-addrcl 7710 |
This theorem depends on definitions: df-bi 116 df-cleq 2130 df-clel 2133 df-2 8772 df-3 8773 df-4 8774 df-5 8775 df-6 8776 df-7 8777 df-8 8778 df-9 8779 |
This theorem is referenced by: 9cn 8801 7lt9 8911 6lt9 8912 5lt9 8913 4lt9 8914 3lt9 8915 2lt9 8916 1lt9 8917 9lt10 9305 8lt10 9306 0.999... 11283 cos2bnd 11456 sincos2sgn 11461 setsmsdsg 12638 |
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