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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 9172 | . 2 class 2 | |
| 2 | c1 8011 | . . 3 class 1 | |
| 3 | caddc 8013 | . . 3 class + | |
| 4 | 2, 2, 3 | co 6007 | . 2 class (1 + 1) |
| 5 | 1, 4 | wceq 1395 | 1 wff 2 = (1 + 1) |
| Colors of variables: wff set class |
| This definition is referenced by: 2re 9191 0le2 9211 2pos 9212 1p1e2 9238 2p2e4 9248 2times 9249 3p2e5 9263 4p2e6 9265 5p2e7 9268 6p2e8 9271 7p2e9 9273 2nn 9283 1lt2 9291 nneoor 9560 6p6e12 9662 7p5e12 9665 8p2e10 9668 8p4e12 9670 9p2e11 9675 9p3e12 9676 5t2e10 9688 eluz2b1 9808 nn01to3 9824 fztp 10286 fzprval 10290 fztpval 10291 fzo12sn 10435 rebtwn2zlemstep 10484 rebtwn2z 10486 sqval 10831 fac2 10965 bcp1m1 10999 hashprg 11043 binom11 12012 ege2le3 12197 ef4p 12220 efgt1p2 12221 eirraplem 12303 odd2np1lem 12398 opoe 12421 bitsfzolem 12480 ncoprmgcdne1b 12626 isprm3 12655 prmind2 12657 dvdsnprmd 12662 prmgt1 12669 pockthlem 12894 pockthg 12895 prmunb 12900 4sqlem19 12947 2expltfac 12977 gsumpr12val 13448 mulg2 13683 dveflem 15415 coskpi 15537 mersenne 15686 perfectlem2 15689 lgslem1 15694 lgsval2lem 15704 lgsdir2lem2 15723 lgsdir2lem3 15724 lgsdirprm 15728 lgseisen 15768 m1lgs 15779 ex-fl 16144 |
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