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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 9195 | . 2 class 3 | |
| 2 | c2 9194 | . . 3 class 2 | |
| 3 | c1 8033 | . . 3 class 1 | |
| 4 | caddc 8035 | . . 3 class + | |
| 5 | 2, 3, 4 | co 6018 | . 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 9217 3pos 9237 3m1e2 9263 2p2e4 9270 2p1e3 9277 3p3e6 9286 4p3e7 9288 5p3e8 9291 6p3e9 9294 3t3e9 9301 3nn 9306 2lt3 9314 7p3e10 9685 7p6e13 9688 8p3e11 9691 8p5e13 9693 9p3e12 9698 9p4e13 9699 4t3e12 9708 5t3e15 9711 6t3e18 9715 7t3e21 9720 8t3e24 9726 9t3e27 9733 nn01to3 9851 fztpval 10318 fz0to3un2pr 10358 fz0to4untppr 10359 fzo0to42pr 10466 cu2 10901 i3 10904 binom3 10920 fac3 10995 ege2le3 12250 ef4p 12273 cos1bnd 12338 3prm 12718 oddprmge3 12725 dveflem 15469 sincosq3sgn 15571 sincosq4sgn 15572 tangtx 15581 sincos6thpi 15585 binom4 15722 lgsdir2lem3 15778 konigsberglem5 16362 |
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