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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 9193 | . 2 class 2 | |
| 2 | c1 8032 | . . 3 class 1 | |
| 3 | caddc 8034 | . . 3 class + | |
| 4 | 2, 2, 3 | co 6017 | . 2 class (1 + 1) |
| 5 | 1, 4 | wceq 1397 | 1 wff 2 = (1 + 1) |
| Colors of variables: wff set class |
| This definition is referenced by: 2re 9212 0le2 9232 2pos 9233 1p1e2 9259 2p2e4 9269 2times 9270 3p2e5 9284 4p2e6 9286 5p2e7 9289 6p2e8 9292 7p2e9 9294 2nn 9304 1lt2 9312 nneoor 9581 6p6e12 9683 7p5e12 9686 8p2e10 9689 8p4e12 9691 9p2e11 9696 9p3e12 9697 5t2e10 9709 eluz2b1 9834 nn01to3 9850 fztp 10312 fzprval 10316 fztpval 10317 fzo12sn 10461 fzosplitpr 10478 rebtwn2zlemstep 10511 rebtwn2z 10513 sqval 10858 fac2 10992 bcp1m1 11026 hashprg 11071 binom11 12046 ege2le3 12231 ef4p 12254 efgt1p2 12255 eirraplem 12337 odd2np1lem 12432 opoe 12455 bitsfzolem 12514 ncoprmgcdne1b 12660 isprm3 12689 prmind2 12691 dvdsnprmd 12696 prmgt1 12703 pockthlem 12928 pockthg 12929 prmunb 12934 4sqlem19 12981 2expltfac 13011 gsumpr12val 13482 mulg2 13717 dveflem 15449 coskpi 15571 mersenne 15720 perfectlem2 15723 lgslem1 15728 lgsval2lem 15738 lgsdir2lem2 15757 lgsdir2lem3 15758 lgsdirprm 15762 lgseisen 15802 m1lgs 15813 ex-fl 16321 |
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