| 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 12217 | . 2 class 5 | |
| 2 | c4 12216 | . . 3 class 4 | |
| 3 | c1 11041 | . . 3 class 1 | |
| 4 | caddc 11043 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7370 | . 2 class (4 + 1) |
| 6 | 1, 5 | wceq 1542 | 1 wff 5 = (4 + 1) |
| Colors of variables: wff setvar class |
| This definition is referenced by: 5nn 12245 5re 12246 5cn 12247 5pos 12268 5m1e4 12284 4p1e5 12300 3p2e5 12305 4p2e6 12307 4lt5 12331 5p5e10 12692 6p5e11 12694 7p5e12 12698 8p5e13 12704 8p7e15 12706 9p5e14 12711 9p6e15 12712 5t5e25 12724 6t5e30 12728 7t5e35 12733 8t5e40 12739 9t5e45 12746 fldiv4p1lem1div2 13769 ef01bndlem 16123 prm23lt5 16756 5prm 17050 lt6abl 19841 log2ublem3 26931 ppiublem2 27187 bclbnd 27264 bposlem6 27273 bposlem9 27276 lgsdir2lem3 27311 2lgslem3c 27382 2lgsoddprmlem3c 27396 ex-exp 30543 ex-fac 30544 ex-bc 30545 3lexlogpow5ineq5 42459 aks4d1p1p7 42473 rmydioph 43400 expdiophlem2 43408 stoweidlem13 46400 fmtno5 47946 fmtnofac1 47959 31prm 47986 5odd 48099 sbgoldbo 48176 gpgprismgr4cycllem7 48490 gpgprismgr4cycllem9 48492 ackval50 49087 |
| Copyright terms: Public domain | W3C validator |