| 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 12305 | . 2 class 6 | |
| 2 | c5 12304 | . . 3 class 5 | |
| 3 | c1 11107 | . . 3 class 1 | |
| 4 | caddc 11109 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7412 | . 2 class (5 + 1) |
| 6 | 1, 5 | wceq 1569 | 1 wff 6 = (5 + 1) |
| Colors of variables: wff setvar class |
| This definition is used by: 6nn 12336 6re 12337 6cn 12338 6m1e5 12377 5p1e6 12393 3p3e6 12398 4p2e6 12399 5p2e7 12402 5lt6 12430 6p6e12 12796 7p6e13 12800 8p6e14 12806 8p8e16 12808 9p6e15 12813 9p7e16 12814 6t6e36 12830 7t6e42 12835 8t6e48 12841 9t6e54 12848 lt6abl 19971 ppiublem1 27377 ppiublem2 27378 ppiub 27379 bposlem8 27466 lgsdir2lem3 27502 2lgsoddprmlem3d 27588 aks4d1p1p5 42870 rmydioph 43769 expdiophlem2 43777 ceil5half3 48111 stgoldbwt 48569 sbgoldbm 48577 |
| Copyright terms: Public domain | W3C validator |