| Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > ILE Home > Th. List > df-3 | GIF version | ||
| Description: Define the number 3. (Contributed by NM, 27-May-1999.) |
| Ref | Expression |
|---|---|
| df-3 | ⊢ 3 = (2 + 1) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c3 9194 | . 2 class 3 | |
| 2 | c2 9193 | . . 3 class 2 | |
| 3 | c1 8032 | . . 3 class 1 | |
| 4 | caddc 8034 | . . 3 class + | |
| 5 | 2, 3, 4 | co 6017 | . 2 class (2 + 1) |
| 6 | 1, 5 | wceq 1397 | 1 wff 3 = (2 + 1) |
| Colors of variables: wff set class |
| This definition is referenced by: 3re 9216 3pos 9236 3m1e2 9262 2p2e4 9269 2p1e3 9276 3p3e6 9285 4p3e7 9287 5p3e8 9290 6p3e9 9293 3t3e9 9300 3nn 9305 2lt3 9313 7p3e10 9684 7p6e13 9687 8p3e11 9690 8p5e13 9692 9p3e12 9697 9p4e13 9698 4t3e12 9707 5t3e15 9710 6t3e18 9714 7t3e21 9719 8t3e24 9725 9t3e27 9732 nn01to3 9850 fztpval 10317 fz0to3un2pr 10357 fz0to4untppr 10358 fzo0to42pr 10464 cu2 10899 i3 10902 binom3 10918 fac3 10993 ege2le3 12231 ef4p 12254 cos1bnd 12319 3prm 12699 oddprmge3 12706 dveflem 15449 sincosq3sgn 15551 sincosq4sgn 15552 tangtx 15561 sincos6thpi 15565 binom4 15702 lgsdir2lem3 15758 |
| Copyright terms: Public domain | W3C validator |