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| Mirrors > Home > MPE Home > Th. List > df-4 | Structured version Visualization version GIF version | ||
| Description: Define the number 4. (Contributed by NM, 27-May-1999.) |
| Ref | Expression |
|---|---|
| df-4 | ⊢ 4 = (3 + 1) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c4 12399 | . 2 class 4 | |
| 2 | c3 12398 | . . 3 class 3 | |
| 3 | c1 11201 | . . 3 class 1 | |
| 4 | caddc 11203 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7420 | . 2 class (3 + 1) |
| 6 | 1, 5 | wceq 1569 | 1 wff 4 = (3 + 1) |
| Colors of variables: wff setvar class |
| This definition is used by: 4nn 12426 4re 12427 4cn 12428 4m1e3 12471 2p2e4 12477 3p1e4 12487 3p2e5 12493 4p4e8 12497 5p4e9 12500 3lt4 12519 6p4e10 12891 7p4e11 12895 7p7e14 12898 8p4e12 12901 8p6e14 12903 9p4e13 12908 9p5e14 12909 4t4e16 12918 5t4e20 12921 6t4e24 12925 7t4e28 12930 8t4e32 12936 9t4e36 12943 fz0to4untppr 13764 4bc2eq6 14473 bpoly3 16224 bpoly4 16225 fsumcube 16226 ef4p 16281 ef01bndlem 16352 ge2nprmge4 16877 lt6abl 20109 cphipval 25564 sincosq4sgn 26830 binom4 27178 quart1lem 27183 log2cnv 27272 ppiublem2 27530 ppiub 27531 chtub 27539 bclbnd 27607 bposlem8 27618 lgsdir2lem3 27654 3wlkdlem1 30760 ipval2 31309 problem3 36474 aks4d1p1p7 43167 1p4e5 43354 rmydioph 44063 rmxdioph 44065 expdiophlem2 44071 lt4addmuld 46364 stoweidlem13 47065 sin5tlem2 47962 goldpolyfactor 47969 m1modnep2mod 48470 4even 48849 sbgoldbo 48927 ackval40 49847 ackval41a 49848 ackval42 49850 |
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