| Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > MPE Home > Th. List > df-5 | Structured version Visualization version GIF version | ||
| Description: Define the number 5. (Contributed by NM, 27-May-1999.) |
| Ref | Expression |
|---|---|
| df-5 | ⊢ 5 = (4 + 1) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c5 12369 | . 2 class 5 | |
| 2 | c4 12368 | . . 3 class 4 | |
| 3 | c1 11172 | . . 3 class 1 | |
| 4 | caddc 11174 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7408 | . 2 class (4 + 1) |
| 6 | 1, 5 | wceq 1570 | 1 wff 5 = (4 + 1) |
| Colors of variables: wff setvar class |
| This definition is used by: 5nn 12398 5re 12399 5cn 12400 5m1e4 12441 4p1e5 12457 3p2e5 12462 4p2e6 12464 4lt5 12491 5p5e10 12859 6p5e11 12861 7p5e12 12865 8p5e13 12871 8p7e15 12873 9p5e14 12878 9p6e15 12879 5t5e25 12891 6t5e30 12895 7t5e35 12900 8t5e40 12906 9t5e45 12913 fldiv4p1lem1div2 13943 ef01bndlem 16319 prm23lt5 16953 5prm 17247 lt6abl 20070 log2ublem3 27239 ppiublem2 27493 bclbnd 27570 bposlem6 27579 bposlem9 27582 lgsdir2lem3 27617 2lgslem3c 27688 2lgsoddprmlem3c 27702 ex-exp 30984 ex-fac 30985 ex-bc 30986 3lexlogpow5ineq5 43030 aks4d1p1p7 43044 1p5e6 43232 4p5e9 43244 rmydioph 43959 expdiophlem2 43967 stoweidlem13 46945 cos5t 47847 goldpolyfactor 47849 goldratval 47858 fmtno5 48564 fmtnofac1 48577 31prm 48604 5odd 48730 sbgoldbo 48807 gpgprismgr4cycllem7 49121 gpgprismgr4cycllem9 49123 ackval50 49732 |
| Copyright terms: Public domain | W3C validator |