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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 9185 | . 2 class 3 | |
| 2 | c2 9184 | . . 3 class 2 | |
| 3 | c1 8023 | . . 3 class 1 | |
| 4 | caddc 8025 | . . 3 class + | |
| 5 | 2, 3, 4 | co 6013 | . 2 class (2 + 1) |
| 6 | 1, 5 | wceq 1395 | 1 wff 3 = (2 + 1) |
| Colors of variables: wff set class |
| This definition is referenced by: 3re 9207 3pos 9227 3m1e2 9253 2p2e4 9260 2p1e3 9267 3p3e6 9276 4p3e7 9278 5p3e8 9281 6p3e9 9284 3t3e9 9291 3nn 9296 2lt3 9304 7p3e10 9675 7p6e13 9678 8p3e11 9681 8p5e13 9683 9p3e12 9688 9p4e13 9689 4t3e12 9698 5t3e15 9701 6t3e18 9705 7t3e21 9710 8t3e24 9716 9t3e27 9723 nn01to3 9841 fztpval 10308 fz0to3un2pr 10348 fz0to4untppr 10349 fzo0to42pr 10455 cu2 10890 i3 10893 binom3 10909 fac3 10984 ege2le3 12222 ef4p 12245 cos1bnd 12310 3prm 12690 oddprmge3 12697 dveflem 15440 sincosq3sgn 15542 sincosq4sgn 15543 tangtx 15552 sincos6thpi 15556 binom4 15693 lgsdir2lem3 15749 |
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