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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 8584 |
. 2
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2 | 6re 8601 |
. . 3
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3 | 1re 7584 |
. . 3
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4 | 2, 3 | readdcli 7598 |
. 2
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5 | 1, 4 | eqeltri 2167 |
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 1388 ax-gen 1390 ax-ie1 1434 ax-ie2 1435 ax-4 1452 ax-17 1471 ax-ial 1479 ax-ext 2077 ax-1re 7536 ax-addrcl 7539 |
This theorem depends on definitions: df-bi 116 df-cleq 2088 df-clel 2091 df-2 8579 df-3 8580 df-4 8581 df-5 8582 df-6 8583 df-7 8584 |
This theorem is referenced by: 7cn 8604 8re 8605 8pos 8623 5lt7 8699 4lt7 8700 3lt7 8701 2lt7 8702 1lt7 8703 7lt8 8704 6lt8 8705 7lt9 8712 6lt9 8713 7lt10 9108 6lt10 9109 |
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