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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 12296 | . 2 class 4 | |
| 2 | c3 12295 | . . 3 class 3 | |
| 3 | c1 11100 | . . 3 class 1 | |
| 4 | caddc 11102 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7410 | . 2 class (3 + 1) |
| 6 | 1, 5 | wceq 1568 | 1 wff 4 = (3 + 1) |
| Colors of variables: wff setvar class |
| This definition is referenced by: 4nn 12323 4re 12324 4cn 12325 4m1e3 12368 2p2e4 12374 3p1e4 12384 3p2e5 12390 4p4e8 12394 5p4e9 12397 3lt4 12416 6p4e10 12787 7p4e11 12791 7p7e14 12794 8p4e12 12797 8p6e14 12799 9p4e13 12804 9p5e14 12805 4t4e16 12814 5t4e20 12817 6t4e24 12821 7t4e28 12826 8t4e32 12832 9t4e36 12839 fz0to4untppr 13657 4bc2eq6 14364 bpoly3 16111 bpoly4 16112 fsumcube 16113 ef4p 16168 ef01bndlem 16239 ge2nprmge4 16759 lt6abl 19964 cphipval 25381 sincosq4sgn 26642 binom4 26991 quart1lem 26996 log2cnv 27085 ppiublem2 27343 ppiub 27344 chtub 27352 bclbnd 27420 bposlem8 27431 lgsdir2lem3 27467 3wlkdlem1 30476 ipval2 31025 problem3 36113 aks4d1p1p7 42787 rmydioph 43689 rmxdioph 43691 expdiophlem2 43697 lt4addmuld 45973 stoweidlem13 46675 sin5tlem2 47556 m1modnep2mod 48040 4even 48419 sbgoldbo 48497 ackval40 49418 ackval41a 49419 ackval42 49421 |
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