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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 9306 | . 2 class 3 | |
| 2 | c2 9305 | . . 3 class 2 | |
| 3 | c1 8144 | . . 3 class 1 | |
| 4 | caddc 8146 | . . 3 class + | |
| 5 | 2, 3, 4 | co 6058 | . 2 class (2 + 1) |
| 6 | 1, 5 | wceq 1398 | 1 wff 3 = (2 + 1) |
| Colors of variables: wff set class |
| This definition is referenced by: 3re 9328 3pos 9348 3m1e2 9374 2p2e4 9381 2p1e3 9388 3p3e6 9397 4p3e7 9399 5p3e8 9402 6p3e9 9405 3t3e9 9412 3nn 9417 2lt3 9425 7p3e10 9801 7p6e13 9804 8p3e11 9807 8p5e13 9809 9p3e12 9814 9p4e13 9815 4t3e12 9824 5t3e15 9827 6t3e18 9831 7t3e21 9836 8t3e24 9842 9t3e27 9849 nn01to3 9967 fztpval 10439 fz0to3un2pr 10479 fz0to4untppr 10480 fzo0to42pr 10587 cu2 11024 i3 11027 binom3 11043 fac3 11119 ege2le3 12382 ef4p 12405 cos1bnd 12470 3prm 12850 oddprmge3 12857 dveflem 15717 sincosq3sgn 15819 sincosq4sgn 15820 tangtx 15829 sincos6thpi 15833 binom4 15970 lgsdir2lem3 16029 konigsberglem5 16613 |
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