| Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > MPE Home > Th. List > df-4 | Structured version Visualization version GIF version | ||
| Description: Define the number 4. (Contributed by NM, 27-May-1999.) |
| Ref | Expression |
|---|---|
| df-4 | ⊢ 4 = (3 + 1) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c4 12233 | . 2 class 4 | |
| 2 | c3 12232 | . . 3 class 3 | |
| 3 | c1 11035 | . . 3 class 1 | |
| 4 | caddc 11037 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7359 | . 2 class (3 + 1) |
| 6 | 1, 5 | wceq 1548 | 1 wff 4 = (3 + 1) |
| Colors of variables: wff setvar class |
| This definition is referenced by: 4nn 12259 4re 12260 4cn 12261 4pos 12283 4m1e3 12300 2p2e4 12306 3p1e4 12316 3p2e5 12322 4p4e8 12326 5p4e9 12329 3lt4 12345 6p4e10 12711 7p4e11 12715 7p7e14 12718 8p4e12 12721 8p6e14 12723 9p4e13 12728 9p5e14 12729 4t4e16 12738 5t4e20 12741 6t4e24 12745 7t4e28 12750 8t4e32 12756 9t4e36 12763 fz0to4untppr 13579 4bc2eq6 14286 bpoly3 16018 bpoly4 16019 fsumcube 16020 ef4p 16075 ef01bndlem 16146 ge2nprmge4 16666 lt6abl 19864 cphipval 25231 sincosq4sgn 26486 binom4 26835 quart1lem 26840 log2cnv 26929 ppiublem2 27187 ppiub 27188 chtub 27196 bclbnd 27264 bposlem8 27275 lgsdir2lem3 27311 3wlkdlem1 30249 ipval2 30798 problem3 35908 aks4d1p1p7 42572 rmydioph 43472 rmxdioph 43474 expdiophlem2 43480 lt4addmuld 45766 stoweidlem13 46468 sin5tlem2 47349 m1modnep2mod 47833 4even 48212 sbgoldbo 48290 ackval40 49196 ackval41a 49197 ackval42 49199 |
| Copyright terms: Public domain | W3C validator |