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Mirrors > Home > ILE Home > Th. List > 5re | Unicode version |
Description: The number 5 is real. (Contributed by NM, 27-May-1999.) |
Ref | Expression |
---|---|
5re |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-5 8750 | . 2 | |
2 | 4re 8765 | . . 3 | |
3 | 1re 7733 | . . 3 | |
4 | 2, 3 | readdcli 7747 | . 2 |
5 | 1, 4 | eqeltri 2190 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 1465 (class class class)co 5742 cr 7587 c1 7589 caddc 7591 c4 8741 c5 8742 |
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 1408 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-4 1472 ax-17 1491 ax-ial 1499 ax-ext 2099 ax-1re 7682 ax-addrcl 7685 |
This theorem depends on definitions: df-bi 116 df-cleq 2110 df-clel 2113 df-2 8747 df-3 8748 df-4 8749 df-5 8750 |
This theorem is referenced by: 5cn 8768 6re 8769 6pos 8789 3lt5 8864 2lt5 8865 1lt5 8866 5lt6 8867 4lt6 8868 5lt7 8873 4lt7 8874 5lt8 8880 4lt8 8881 5lt9 8888 4lt9 8889 5lt10 9284 4lt10 9285 5recm6rec 9293 ef01bndlem 11390 |
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