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| Mirrors > Home > ILE Home > Th. List > df-2 | GIF version | ||
| Description: Define the number 2. (Contributed by NM, 27-May-1999.) |
| Ref | Expression |
|---|---|
| df-2 | ⊢ 2 = (1 + 1) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c2 9358 | . 2 class 2 | |
| 2 | c1 8181 | . . 3 class 1 | |
| 3 | caddc 8183 | . . 3 class + | |
| 4 | 2, 2, 3 | co 6085 | . 2 class (1 + 1) |
| 5 | 1, 4 | wceq 1402 | 1 wff 2 = (1 + 1) |
| Colors of variables: wff set class |
| This definition is used by: 2re 9377 0le2 9397 2pos 9398 1p1e2 9424 2p2e4 9434 2times 9435 3p2e5 9449 4p2e6 9451 5p2e7 9454 6p2e8 9457 7p2e9 9459 2nn 9471 1lt2 9479 nneoor 9753 6p6e12 9860 7p5e12 9863 8p2e10 9866 8p4e12 9868 9p2e11 9873 9p3e12 9874 5t2e10 9886 eluz2b1 10011 nn01to3 10027 fztp 10496 fzprval 10500 fztpval 10501 fzo12sn 10646 fzosplitpr 10663 rebtwn2zlemstep 10698 rebtwn2z 10700 sqval 11049 fac2 11185 bcp1m1 11219 hashprg 11265 binom11 12272 ege2le3 12457 ef4p 12480 efgt1p2 12481 eirraplem 12563 odd2np1lem 12658 opoe 12681 bitsfzolem 12740 ncoprmgcdne1b 12886 isprm3 12915 prmind2 12917 dvdsnprmd 12922 prmgt1 12930 pockthlem 13158 pockthg 13159 prmunb 13164 4sqlem19 13211 2expltfac 13242 mulg2 13987 dveflem 15918 coskpi 16041 ppi2 16235 ppi3 16236 cht2 16237 ppiqeq0 16241 ppiublem2 16253 chtqub 16257 mersenne 16258 perfectlem2 16261 bcp1ctr 16267 bclbnd 16268 bposlem1 16272 bposlem2 16273 bposlem6 16277 lgslem1 16285 lgsval2lem 16295 lgsdir2lem2 16314 lgsdir2lem3 16315 lgsdirprm 16319 lgseisen 16359 m1lgs 16370 ex-fl 16905 |
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