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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 9289 | . 2 class 3 | |
| 2 | c2 9288 | . . 3 class 2 | |
| 3 | c1 8128 | . . 3 class 1 | |
| 4 | caddc 8130 | . . 3 class + | |
| 5 | 2, 3, 4 | co 6050 | . 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 9311 3pos 9331 3m1e2 9357 2p2e4 9364 2p1e3 9371 3p3e6 9380 4p3e7 9382 5p3e8 9385 6p3e9 9388 3t3e9 9395 3nn 9400 2lt3 9408 7p3e10 9783 7p6e13 9786 8p3e11 9789 8p5e13 9791 9p3e12 9796 9p4e13 9797 4t3e12 9806 5t3e15 9809 6t3e18 9813 7t3e21 9818 8t3e24 9824 9t3e27 9831 nn01to3 9949 fztpval 10417 fz0to3un2pr 10457 fz0to4untppr 10458 fzo0to42pr 10565 cu2 11000 i3 11003 binom3 11019 fac3 11094 ege2le3 12357 ef4p 12380 cos1bnd 12445 3prm 12825 oddprmge3 12832 dveflem 15591 sincosq3sgn 15693 sincosq4sgn 15694 tangtx 15703 sincos6thpi 15707 binom4 15844 lgsdir2lem3 15903 konigsberglem5 16487 |
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