| 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 12401 | . 2 class 6 | |
| 2 | c5 12400 | . . 3 class 5 | |
| 3 | c1 11201 | . . 3 class 1 | |
| 4 | caddc 11203 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7420 | . 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 12432 6re 12433 6cn 12434 6m1e5 12473 5p1e6 12489 3p3e6 12494 4p2e6 12495 5p2e7 12498 5lt6 12526 6p6e12 12893 7p6e13 12897 8p6e14 12903 8p8e16 12905 9p6e15 12910 9p7e16 12911 6t6e36 12927 7t6e42 12932 8t6e48 12938 9t6e54 12945 lt6abl 20109 ppiublem1 27529 ppiublem2 27530 ppiub 27531 bposlem8 27618 lgsdir2lem3 27654 2lgsoddprmlem3d 27740 aks4d1p1p5 43126 1p6e7 43314 rmydioph 44021 expdiophlem2 44029 ceil5half3 48416 stgoldbwt 48874 sbgoldbm 48882 |
| Copyright terms: Public domain | W3C validator |