| Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > MPE Home > Th. List > df-6 | Structured version Visualization version GIF version | ||
| Description: Define the number 6. (Contributed by NM, 27-May-1999.) |
| Ref | Expression |
|---|---|
| df-6 | ⊢ 6 = (5 + 1) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c6 12245 | . 2 class 6 | |
| 2 | c5 12244 | . . 3 class 5 | |
| 3 | c1 11069 | . . 3 class 1 | |
| 4 | caddc 11071 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7387 | . 2 class (5 + 1) |
| 6 | 1, 5 | wceq 1540 | 1 wff 6 = (5 + 1) |
| Colors of variables: wff setvar class |
| This definition is referenced by: 6nn 12275 6re 12276 6cn 12277 6pos 12296 6m1e5 12312 5p1e6 12328 3p3e6 12333 4p2e6 12334 5p2e7 12337 5lt6 12362 6p6e12 12723 7p6e13 12727 8p6e14 12733 8p8e16 12735 9p6e15 12740 9p7e16 12741 6t6e36 12757 7t6e42 12762 8t6e48 12768 9t6e54 12775 lt6abl 19825 ppiublem1 27113 ppiublem2 27114 ppiub 27115 bposlem8 27202 lgsdir2lem3 27238 2lgsoddprmlem3d 27324 aks4d1p1p5 42063 rmydioph 43003 expdiophlem2 43011 ceil5half3 47341 stgoldbwt 47777 sbgoldbm 47785 |
| Copyright terms: Public domain | W3C validator |