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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 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-5 8967 |
. 2
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2 | 4re 8982 |
. . 3
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3 | 1re 7944 |
. . 3
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4 | 2, 3 | readdcli 7958 |
. 2
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5 | 1, 4 | eqeltri 2250 |
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 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-4 1510 ax-17 1526 ax-ial 1534 ax-ext 2159 ax-1re 7893 ax-addrcl 7896 |
This theorem depends on definitions: df-bi 117 df-cleq 2170 df-clel 2173 df-2 8964 df-3 8965 df-4 8966 df-5 8967 |
This theorem is referenced by: 5cn 8985 6re 8986 6pos 9006 3lt5 9081 2lt5 9082 1lt5 9083 5lt6 9084 4lt6 9085 5lt7 9090 4lt7 9091 5lt8 9097 4lt8 9098 5lt9 9105 4lt9 9106 5lt10 9504 4lt10 9505 5recm6rec 9513 ef01bndlem 11745 slotstnscsi 12614 slotsdnscsi 12630 lgsdir2lem1 14089 |
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