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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 9335 | . 2 class 3 | |
| 2 | c2 9334 | . . 3 class 2 | |
| 3 | c1 8170 | . . 3 class 1 | |
| 4 | caddc 8172 | . . 3 class + | |
| 5 | 2, 3, 4 | co 6075 | . 2 class (2 + 1) |
| 6 | 1, 5 | wceq 1402 | 1 wff 3 = (2 + 1) |
| Colors of variables: wff set class |
| This definition is referenced by: 3re 9357 3pos 9377 3m1e2 9403 2p2e4 9410 2p1e3 9417 3p3e6 9426 4p3e7 9428 5p3e8 9431 6p3e9 9434 3t3e9 9441 3nn 9446 2lt3 9454 7p3e10 9830 7p6e13 9833 8p3e11 9836 8p5e13 9838 9p3e12 9843 9p4e13 9844 4t3e12 9853 5t3e15 9856 6t3e18 9860 7t3e21 9865 8t3e24 9871 9t3e27 9878 nn01to3 9996 fztpval 10468 fz0to3un2pr 10508 fz0to4untppr 10509 fzo0to42pr 10616 cu2 11053 i3 11056 binom3 11072 fac3 11148 ege2le3 12416 ef4p 12439 cos1bnd 12504 3prm 12884 oddprmge3 12891 dveflem 15750 sincosq3sgn 15852 sincosq4sgn 15853 tangtx 15862 sincos6thpi 15866 binom4 16004 lgsdir2lem3 16063 konigsberglem5 16647 |
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