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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 9759 6p6e12 9866 7p5e12 9869 8p2e10 9872 8p4e12 9874 9p2e11 9879 9p3e12 9880 5t2e10 9892 eluz2b1 10017 nn01to3 10033 fztp 10502 fzprval 10506 fztpval 10507 fzo12sn 10652 fzosplitpr 10669 rebtwn2zlemstep 10704 rebtwn2z 10706 sqval 11055 fac2 11191 bcp1m1 11225 hashprg 11271 binom11 12278 ege2le3 12463 ef4p 12486 efgt1p2 12487 eirraplem 12569 odd2np1lem 12664 opoe 12687 bitsfzolem 12746 ncoprmgcdne1b 12892 isprm3 12921 prmind2 12923 dvdsnprmd 12928 prmgt1 12936 pockthlem 13164 pockthg 13165 prmunb 13170 4sqlem19 13217 2expltfac 13248 mulg2 13993 dveflem 15952 coskpi 16075 ppi2 16274 ppi3 16275 cht2 16276 ppiqeq0 16280 ppiublem2 16292 chtqub 16296 mersenne 16297 perfectlem2 16300 bcp1ctr 16306 bclbnd 16307 bposlem1 16311 bposlem2 16312 bposlem6 16316 lgslem1 16324 lgsval2lem 16334 lgsdir2lem2 16353 lgsdir2lem3 16354 lgsdirprm 16358 lgseisen 16398 m1lgs 16409 ex-fl 16944 |
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