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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 12322 | . 2 class 4 | |
| 2 | c3 12321 | . . 3 class 3 | |
| 3 | c1 11126 | . . 3 class 1 | |
| 4 | caddc 11128 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7416 | . 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 12349 4re 12350 4cn 12351 4m1e3 12394 2p2e4 12400 3p1e4 12410 3p2e5 12416 4p4e8 12420 5p4e9 12423 3lt4 12442 6p4e10 12814 7p4e11 12818 7p7e14 12821 8p4e12 12824 8p6e14 12826 9p4e13 12831 9p5e14 12832 4t4e16 12841 5t4e20 12844 6t4e24 12848 7t4e28 12853 8t4e32 12859 9t4e36 12866 fz0to4untppr 13685 4bc2eq6 14393 bpoly3 16146 bpoly4 16147 fsumcube 16148 ef4p 16203 ef01bndlem 16274 ge2nprmge4 16794 lt6abl 20021 cphipval 25470 sincosq4sgn 26734 binom4 27083 quart1lem 27088 log2cnv 27177 ppiublem2 27435 ppiub 27436 chtub 27444 bclbnd 27512 bposlem8 27523 lgsdir2lem3 27559 3wlkdlem1 30623 ipval2 31172 problem3 36231 aks4d1p1p7 42925 1p4e5 43112 rmydioph 43840 rmxdioph 43842 expdiophlem2 43848 lt4addmuld 46124 stoweidlem13 46826 sin5tlem2 47723 goldpolyfactor 47730 m1modnep2mod 48231 4even 48610 sbgoldbo 48688 ackval40 49608 ackval41a 49609 ackval42 49611 |
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