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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 9866 7p6e13 9869 8p3e11 9872 8p5e13 9874 9p3e12 9879 9p4e13 9880 4t3e12 9889 5t3e15 9892 6t3e18 9896 7t3e21 9901 8t3e24 9907 9t3e27 9914 nn01to3 10032 fztpval 10506 fz0to3un2pr 10546 fz0to4untppr 10547 fzo0to42pr 10654 cu2 11095 i3 11098 binom3 11114 fac3 11191 ege2le3 12462 ef4p 12485 cos1bnd 12550 3prm 12930 oddprmge3 12938 13prm 13258 23prm 13261 43prm 13264 83prm 13265 163prm 13267 dveflem 15969 sincosq3sgn 16072 sincosq4sgn 16073 tangtx 16082 sincos6thpi 16086 binom4 16236 log2ublem3 16240 ppi3 16292 cht3 16294 ppiublem1 16308 ppiublem2 16309 ppiqub 16310 chtqub 16313 bclbnd 16324 bposlem2 16329 bposlem9 16336 lgsdir2lem3 16371 konigsberglem5 16955 |
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