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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 9359 | . 2 class 3 | |
| 2 | c2 9358 | . . 3 class 2 | |
| 3 | c1 8181 | . . 3 class 1 | |
| 4 | caddc 8183 | . . 3 class + | |
| 5 | 2, 3, 4 | co 6085 | . 2 class (2 + 1) |
| 6 | 1, 5 | wceq 1402 | 1 wff 3 = (2 + 1) |
| Colors of variables: wff set class |
| This definition is used by: 3re 9381 3pos 9401 3m1e2 9427 2p2e4 9434 2p1e3 9441 3p3e6 9450 4p3e7 9452 5p3e8 9455 6p3e9 9458 3t3e9 9466 3nn 9472 2lt3 9480 7p3e10 9861 7p6e13 9864 8p3e11 9867 8p5e13 9869 9p3e12 9874 9p4e13 9875 4t3e12 9884 5t3e15 9887 6t3e18 9891 7t3e21 9896 8t3e24 9902 9t3e27 9909 nn01to3 10027 fztpval 10501 fz0to3un2pr 10541 fz0to4untppr 10542 fzo0to42pr 10649 cu2 11090 i3 11093 binom3 11109 fac3 11186 ege2le3 12457 ef4p 12480 cos1bnd 12545 3prm 12925 oddprmge3 12933 13prm 13253 23prm 13256 43prm 13259 83prm 13260 163prm 13262 dveflem 15918 sincosq3sgn 16021 sincosq4sgn 16022 tangtx 16031 sincos6thpi 16035 binom4 16180 log2ublem3 16184 ppi3 16236 cht3 16238 ppiublem1 16252 ppiublem2 16253 ppiqub 16254 chtqub 16257 bclbnd 16268 bposlem2 16273 bposlem9 16280 lgsdir2lem3 16315 konigsberglem5 16899 |
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