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Mirrors > Home > ILE Home > Th. List > 7re | Unicode version |
Description: The number 7 is real. (Contributed by NM, 27-May-1999.) |
Ref | Expression |
---|---|
7re |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-7 8808 |
. 2
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2 | 6re 8825 |
. . 3
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3 | 1re 7789 |
. . 3
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4 | 2, 3 | readdcli 7803 |
. 2
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5 | 1, 4 | eqeltri 2213 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() |
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 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-17 1507 ax-ial 1515 ax-ext 2122 ax-1re 7738 ax-addrcl 7741 |
This theorem depends on definitions: df-bi 116 df-cleq 2133 df-clel 2136 df-2 8803 df-3 8804 df-4 8805 df-5 8806 df-6 8807 df-7 8808 |
This theorem is referenced by: 7cn 8828 8re 8829 8pos 8847 5lt7 8929 4lt7 8930 3lt7 8931 2lt7 8932 1lt7 8933 7lt8 8934 6lt8 8935 7lt9 8942 6lt9 8943 7lt10 9338 6lt10 9339 |
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