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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 12368 | . 2 class 4 | |
| 2 | c3 12367 | . . 3 class 3 | |
| 3 | c1 11172 | . . 3 class 1 | |
| 4 | caddc 11174 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7408 | . 2 class (3 + 1) |
| 6 | 1, 5 | wceq 1570 | 1 wff 4 = (3 + 1) |
| Colors of variables: wff setvar class |
| This definition is used by: 4nn 12395 4re 12396 4cn 12397 4m1e3 12440 2p2e4 12446 3p1e4 12456 3p2e5 12462 4p4e8 12466 5p4e9 12469 3lt4 12488 6p4e10 12860 7p4e11 12864 7p7e14 12867 8p4e12 12870 8p6e14 12872 9p4e13 12877 9p5e14 12878 4t4e16 12887 5t4e20 12890 6t4e24 12894 7t4e28 12899 8t4e32 12905 9t4e36 12912 fz0to4untppr 13732 4bc2eq6 14440 bpoly3 16191 bpoly4 16192 fsumcube 16193 ef4p 16248 ef01bndlem 16319 ge2nprmge4 16839 lt6abl 20070 cphipval 25525 sincosq4sgn 26793 binom4 27141 quart1lem 27146 log2cnv 27235 ppiublem2 27493 ppiub 27494 chtub 27502 bclbnd 27570 bposlem8 27581 lgsdir2lem3 27617 3wlkdlem1 30693 ipval2 31242 problem3 36353 aks4d1p1p7 43044 1p4e5 43231 rmydioph 43959 rmxdioph 43961 expdiophlem2 43967 lt4addmuld 46243 stoweidlem13 46945 sin5tlem2 47842 goldpolyfactor 47849 m1modnep2mod 48350 4even 48729 sbgoldbo 48807 ackval40 49727 ackval41a 49728 ackval42 49730 |
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