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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 12200 | . 2 class 4 | |
| 2 | c3 12199 | . . 3 class 3 | |
| 3 | c1 11025 | . . 3 class 1 | |
| 4 | caddc 11027 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7356 | . 2 class (3 + 1) |
| 6 | 1, 5 | wceq 1541 | 1 wff 4 = (3 + 1) |
| Colors of variables: wff setvar class |
| This definition is referenced by: 4nn 12226 4re 12227 4cn 12228 4pos 12250 4m1e3 12267 2p2e4 12273 3p1e4 12283 3p2e5 12289 4p4e8 12293 5p4e9 12296 3lt4 12312 6p4e10 12677 7p4e11 12681 7p7e14 12684 8p4e12 12687 8p6e14 12689 9p4e13 12694 9p5e14 12695 4t4e16 12704 5t4e20 12707 6t4e24 12711 7t4e28 12716 8t4e32 12722 9t4e36 12729 fz0to4untppr 13544 4bc2eq6 14250 bpoly3 15979 bpoly4 15980 fsumcube 15981 ef4p 16036 ef01bndlem 16107 ge2nprmge4 16626 lt6abl 19822 cphipval 25197 sincosq4sgn 26464 binom4 26814 quart1lem 26819 log2cnv 26908 ppiublem2 27168 ppiub 27169 chtub 27177 bclbnd 27245 bposlem8 27256 lgsdir2lem3 27292 3wlkdlem1 30183 ipval2 30731 problem3 35810 aks4d1p1p7 42267 rmydioph 43198 rmxdioph 43200 expdiophlem2 43206 lt4addmuld 45496 stoweidlem13 46199 m1modnep2mod 47540 4even 47897 sbgoldbo 47975 ackval40 48881 ackval41a 48882 ackval42 48884 |
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