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Mirrors > Home > MPE Home > Th. List > 6re | Structured version Visualization version Unicode version |
Description: The number 6 is real. (Contributed by NM, 27-May-1999.) |
Ref | Expression |
---|---|
6re |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-6 11083 | . 2 | |
2 | 5re 11099 | . . 3 | |
3 | 1re 10039 | . . 3 | |
4 | 2, 3 | readdcli 10053 | . 2 |
5 | 1, 4 | eqeltri 2697 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wcel 1990 (class class class)co 6650 cr 9935 c1 9937 caddc 9939 c5 11073 c6 11074 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 ax-1cn 9994 ax-icn 9995 ax-addcl 9996 ax-addrcl 9997 ax-mulcl 9998 ax-mulrcl 9999 ax-i2m1 10004 ax-1ne0 10005 ax-rrecex 10008 ax-cnre 10009 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-3an 1039 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-ne 2795 df-ral 2917 df-rex 2918 df-rab 2921 df-v 3202 df-dif 3577 df-un 3579 df-in 3581 df-ss 3588 df-nul 3916 df-if 4087 df-sn 4178 df-pr 4180 df-op 4184 df-uni 4437 df-br 4654 df-iota 5851 df-fv 5896 df-ov 6653 df-2 11079 df-3 11080 df-4 11081 df-5 11082 df-6 11083 |
This theorem is referenced by: 6cn 11102 7re 11103 7pos 11120 4lt6 11205 3lt6 11206 2lt6 11207 1lt6 11208 6lt7 11209 5lt7 11210 6lt8 11216 5lt8 11217 6lt9 11224 5lt9 11225 6lt10OLD 11233 5lt10OLD 11234 8th4div3 11252 halfpm6th 11253 div4p1lem1div2 11287 6lt10 11676 5lt10 11677 5recm6rec 11686 bpoly2 14788 bpoly3 14789 efi4p 14867 resin4p 14868 recos4p 14869 ef01bndlem 14914 sin01bnd 14915 cos01bnd 14916 lt6abl 18296 sralem 19177 sravsca 19182 zlmlem 19865 sincos6thpi 24267 basellem5 24811 basellem8 24814 basellem9 24815 ppiublem1 24927 ppiublem2 24928 ppiub 24929 chtub 24937 bposlem6 25014 bposlem8 25016 ex-res 27298 zlmds 30008 zlmtset 30009 hgt750lemd 30726 hgt750lem2 30730 hgt750leme 30736 problem4 31562 problem5 31563 pigt3 33402 gbegt5 41649 gbowgt5 41650 gbowge7 41651 gboge9 41652 sbgoldbwt 41665 sgoldbeven3prm 41671 mogoldbb 41673 sbgoldbo 41675 nnsum3primesle9 41682 nnsum4primesodd 41684 wtgoldbnnsum4prm 41690 bgoldbnnsum3prm 41692 pgrple2abl 42146 |
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