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| 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 9365 | . 2 class 3 | |
| 2 | c2 9364 | . . 3 class 2 | |
| 3 | c1 8186 | . . 3 class 1 | |
| 4 | caddc 8188 | . . 3 class + | |
| 5 | 2, 3, 4 | co 6088 | . 2 class (2 + 1) |
| 6 | 1, 5 | wceq 1402 | 1 wff 3 = (2 + 1) |
| Colors of variables: wff set class |
| This definition is used by: 3re 9387 3pos 9407 3m1e2 9433 2p2e4 9440 2p1e3 9447 3p3e6 9456 4p3e7 9458 5p3e8 9461 6p3e9 9464 3t3e9 9472 3nn 9478 2lt3 9486 7p3e10 9867 7p6e13 9870 8p3e11 9873 8p5e13 9875 9p3e12 9880 9p4e13 9881 4t3e12 9890 5t3e15 9893 6t3e18 9897 7t3e21 9902 8t3e24 9908 9t3e27 9915 nn01to3 10033 fztpval 10507 fz0to3un2pr 10547 fz0to4untppr 10548 fzo0to42pr 10655 cu2 11096 i3 11099 binom3 11115 fac3 11192 ege2le3 12463 ef4p 12486 cos1bnd 12551 3prm 12931 oddprmge3 12939 13prm 13259 23prm 13262 43prm 13265 83prm 13266 163prm 13268 dveflem 15952 sincosq3sgn 16055 sincosq4sgn 16056 tangtx 16065 sincos6thpi 16069 binom4 16219 log2ublem3 16223 ppi3 16275 cht3 16277 ppiublem1 16291 ppiublem2 16292 ppiqub 16293 chtqub 16296 bclbnd 16307 bposlem2 16312 bposlem9 16319 lgsdir2lem3 16354 konigsberglem5 16938 |
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