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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 9356 | . 2 class 3 | |
| 2 | c2 9355 | . . 3 class 2 | |
| 3 | c1 8180 | . . 3 class 1 | |
| 4 | caddc 8182 | . . 3 class + | |
| 5 | 2, 3, 4 | co 6085 | . 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 9378 3pos 9398 3m1e2 9424 2p2e4 9431 2p1e3 9438 3p3e6 9447 4p3e7 9449 5p3e8 9452 6p3e9 9455 3t3e9 9462 3nn 9467 2lt3 9475 7p3e10 9851 7p6e13 9854 8p3e11 9857 8p5e13 9859 9p3e12 9864 9p4e13 9865 4t3e12 9874 5t3e15 9877 6t3e18 9881 7t3e21 9886 8t3e24 9892 9t3e27 9899 nn01to3 10017 fztpval 10490 fz0to3un2pr 10530 fz0to4untppr 10531 fzo0to42pr 10638 cu2 11075 i3 11078 binom3 11094 fac3 11170 ege2le3 12438 ef4p 12461 cos1bnd 12526 3prm 12906 oddprmge3 12913 dveflem 15827 sincosq3sgn 15929 sincosq4sgn 15930 tangtx 15939 sincos6thpi 15943 binom4 16081 log2ublem3 16085 lgsdir2lem3 16149 konigsberglem5 16733 |
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