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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 12206 | . 2 class 4 | |
| 2 | c3 12205 | . . 3 class 3 | |
| 3 | c1 11031 | . . 3 class 1 | |
| 4 | caddc 11033 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7360 | . 2 class (3 + 1) |
| 6 | 1, 5 | wceq 1542 | 1 wff 4 = (3 + 1) |
| Colors of variables: wff setvar class |
| This definition is referenced by: 4nn 12232 4re 12233 4cn 12234 4pos 12256 4m1e3 12273 2p2e4 12279 3p1e4 12289 3p2e5 12295 4p4e8 12299 5p4e9 12302 3lt4 12318 6p4e10 12683 7p4e11 12687 7p7e14 12690 8p4e12 12693 8p6e14 12695 9p4e13 12700 9p5e14 12701 4t4e16 12710 5t4e20 12713 6t4e24 12717 7t4e28 12722 8t4e32 12728 9t4e36 12735 fz0to4untppr 13550 4bc2eq6 14256 bpoly3 15985 bpoly4 15986 fsumcube 15987 ef4p 16042 ef01bndlem 16113 ge2nprmge4 16632 lt6abl 19828 cphipval 25203 sincosq4sgn 26470 binom4 26820 quart1lem 26825 log2cnv 26914 ppiublem2 27174 ppiub 27175 chtub 27183 bclbnd 27251 bposlem8 27262 lgsdir2lem3 27298 3wlkdlem1 30238 ipval2 30786 problem3 35863 aks4d1p1p7 42396 rmydioph 43323 rmxdioph 43325 expdiophlem2 43331 lt4addmuld 45621 stoweidlem13 46324 m1modnep2mod 47665 4even 48022 sbgoldbo 48100 ackval40 49006 ackval41a 49007 ackval42 49009 |
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