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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 9305 | . 2 class 2 | |
| 2 | c1 8144 | . . 3 class 1 | |
| 3 | caddc 8146 | . . 3 class + | |
| 4 | 2, 2, 3 | co 6058 | . 2 class (1 + 1) |
| 5 | 1, 4 | wceq 1398 | 1 wff 2 = (1 + 1) |
| Colors of variables: wff set class |
| This definition is referenced by: 2re 9324 0le2 9344 2pos 9345 1p1e2 9371 2p2e4 9381 2times 9382 3p2e5 9396 4p2e6 9398 5p2e7 9401 6p2e8 9404 7p2e9 9406 2nn 9416 1lt2 9424 nneoor 9698 6p6e12 9800 7p5e12 9803 8p2e10 9806 8p4e12 9808 9p2e11 9813 9p3e12 9814 5t2e10 9826 eluz2b1 9951 nn01to3 9967 fztp 10434 fzprval 10438 fztpval 10439 fzo12sn 10584 fzosplitpr 10601 rebtwn2zlemstep 10636 rebtwn2z 10638 sqval 10983 fac2 11118 bcp1m1 11152 hashprg 11198 binom11 12197 ege2le3 12382 ef4p 12405 efgt1p2 12406 eirraplem 12488 odd2np1lem 12583 opoe 12606 bitsfzolem 12665 ncoprmgcdne1b 12811 isprm3 12840 prmind2 12842 dvdsnprmd 12847 prmgt1 12854 pockthlem 13079 pockthg 13080 prmunb 13085 4sqlem19 13132 2expltfac 13162 gsumpr12val 13663 mulg2 13884 dveflem 15717 coskpi 15839 mersenne 15991 perfectlem2 15994 lgslem1 15999 lgsval2lem 16009 lgsdir2lem2 16028 lgsdir2lem3 16029 lgsdirprm 16033 lgseisen 16073 m1lgs 16084 ex-fl 16619 |
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