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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 9364 | . 2 class 2 | |
| 2 | c1 8186 | . . 3 class 1 | |
| 3 | caddc 8188 | . . 3 class + | |
| 4 | 2, 2, 3 | co 6088 | . 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 9383 0le2 9403 2pos 9404 1p1e2 9430 2p2e4 9440 2times 9441 3p2e5 9455 4p2e6 9457 5p2e7 9460 6p2e8 9463 7p2e9 9465 2nn 9477 1lt2 9485 nneoor 9758 6p6e12 9865 7p5e12 9868 8p2e10 9871 8p4e12 9873 9p2e11 9878 9p3e12 9879 5t2e10 9891 eluz2b1 10016 nn01to3 10032 fztp 10501 fzprval 10505 fztpval 10506 fzo12sn 10651 fzosplitpr 10668 rebtwn2zlemstep 10703 rebtwn2z 10705 sqval 11054 fac2 11190 bcp1m1 11224 hashprg 11270 binom11 12277 ege2le3 12462 ef4p 12485 efgt1p2 12486 eirraplem 12568 odd2np1lem 12663 opoe 12686 bitsfzolem 12745 ncoprmgcdne1b 12891 isprm3 12920 prmind2 12922 dvdsnprmd 12927 prmgt1 12935 pockthlem 13163 pockthg 13164 prmunb 13169 4sqlem19 13216 2expltfac 13247 mulg2 13992 dveflem 15969 coskpi 16092 ppi2 16291 ppi3 16292 cht2 16293 ppiqeq0 16297 ppiublem2 16309 chtqub 16313 mersenne 16314 perfectlem2 16317 bcp1ctr 16323 bclbnd 16324 bposlem1 16328 bposlem2 16329 bposlem6 16333 lgslem1 16341 lgsval2lem 16351 lgsdir2lem2 16370 lgsdir2lem3 16371 lgsdirprm 16375 lgseisen 16415 m1lgs 16426 ex-fl 16961 |
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