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Mirrors > Home > MPE Home > Th. List > 6nn0 | Structured version Visualization version Unicode version |
Description: 6 is a nonnegative integer. (Contributed by Mario Carneiro, 19-Apr-2015.) |
Ref | Expression |
---|---|
6nn0 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 6nn 11189 | . 2 | |
2 | 1 | nnnn0i 11300 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wcel 1990 c6 11074 cn0 11292 |
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-8 1992 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 ax-sep 4781 ax-nul 4789 ax-pow 4843 ax-pr 4906 ax-un 6949 ax-1cn 9994 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-3or 1038 df-3an 1039 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-eu 2474 df-mo 2475 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-ne 2795 df-ral 2917 df-rex 2918 df-reu 2919 df-rab 2921 df-v 3202 df-sbc 3436 df-csb 3534 df-dif 3577 df-un 3579 df-in 3581 df-ss 3588 df-pss 3590 df-nul 3916 df-if 4087 df-pw 4160 df-sn 4178 df-pr 4180 df-tp 4182 df-op 4184 df-uni 4437 df-iun 4522 df-br 4654 df-opab 4713 df-mpt 4730 df-tr 4753 df-id 5024 df-eprel 5029 df-po 5035 df-so 5036 df-fr 5073 df-we 5075 df-xp 5120 df-rel 5121 df-cnv 5122 df-co 5123 df-dm 5124 df-rn 5125 df-res 5126 df-ima 5127 df-pred 5680 df-ord 5726 df-on 5727 df-lim 5728 df-suc 5729 df-iota 5851 df-fun 5890 df-fn 5891 df-f 5892 df-f1 5893 df-fo 5894 df-f1o 5895 df-fv 5896 df-ov 6653 df-om 7066 df-wrecs 7407 df-recs 7468 df-rdg 7506 df-nn 11021 df-2 11079 df-3 11080 df-4 11081 df-5 11082 df-6 11083 df-n0 11293 |
This theorem is referenced by: 6p5e11 11600 6p5e11OLD 11601 6p6e12 11602 7p7e14 11609 8p7e15 11617 9p7e16 11625 9p8e17 11626 6t3e18 11642 6t4e24 11643 6t5e30 11644 6t5e30OLD 11645 6t6e36 11646 6t6e36OLD 11647 7t7e49 11653 8t3e24 11655 8t7e56 11661 8t8e64 11662 9t4e36 11665 9t5e45 11666 9t7e63 11668 9t8e72 11669 6lcm4e12 15329 2exp8 15796 2exp16 15797 2expltfac 15799 19prm 15825 prmlem2 15827 37prm 15828 43prm 15829 139prm 15831 163prm 15832 317prm 15833 631prm 15834 1259lem1 15838 1259lem2 15839 1259lem3 15840 1259lem4 15841 1259lem5 15842 2503lem1 15844 2503lem2 15845 2503lem3 15846 2503prm 15847 4001lem1 15848 4001lem2 15849 4001lem3 15850 4001lem4 15851 4001prm 15852 log2ublem2 24674 log2ublem3 24675 log2ub 24676 log2le1 24677 birthday 24681 bclbnd 25005 bpos1 25008 bposlem8 25016 bposlem9 25017 bpos 25018 ttgval 25755 ttglem 25756 ttgbas 25757 ttgplusg 25758 ttgvsca 25760 eengstr 25860 ex-exp 27307 zlmds 30008 hgt750lemd 30726 hgt750lem 30729 hgt750lem2 30730 kur14lem8 31195 expdiophlem2 37589 wallispi2lem2 40289 fmtno2 41462 fmtno3 41463 fmtno4 41464 fmtno5lem1 41465 fmtno5lem2 41466 fmtno5lem3 41467 fmtno5lem4 41468 fmtno5 41469 257prm 41473 fmtno4prmfac 41484 fmtno4nprmfac193 41486 fmtno5faclem1 41491 fmtno5faclem2 41492 fmtno5faclem3 41493 fmtno5fac 41494 fmtno5nprm 41495 139prmALT 41511 2exp7 41514 127prm 41515 2exp11 41517 m11nprm 41518 |
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