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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 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-9 8696 |
. 2
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2 | 8re 8715 |
. . 3
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3 | 1re 7689 |
. . 3
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4 | 2, 3 | readdcli 7703 |
. 2
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5 | 1, 4 | eqeltri 2187 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1406 ax-gen 1408 ax-ie1 1452 ax-ie2 1453 ax-4 1470 ax-17 1489 ax-ial 1497 ax-ext 2097 ax-1re 7639 ax-addrcl 7642 |
This theorem depends on definitions: df-bi 116 df-cleq 2108 df-clel 2111 df-2 8689 df-3 8690 df-4 8691 df-5 8692 df-6 8693 df-7 8694 df-8 8695 df-9 8696 |
This theorem is referenced by: 9cn 8718 7lt9 8822 6lt9 8823 5lt9 8824 4lt9 8825 3lt9 8826 2lt9 8827 1lt9 8828 9lt10 9216 8lt10 9217 0.999... 11182 cos2bnd 11318 sincos2sgn 11323 setsmsdsg 12469 |
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