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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 12235 | . 2 class 4 | |
| 2 | c3 12234 | . . 3 class 3 | |
| 3 | c1 11036 | . . 3 class 1 | |
| 4 | caddc 11038 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7364 | . 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 12261 4re 12262 4cn 12263 4pos 12285 4m1e3 12302 2p2e4 12308 3p1e4 12318 3p2e5 12324 4p4e8 12328 5p4e9 12331 3lt4 12347 6p4e10 12713 7p4e11 12717 7p7e14 12720 8p4e12 12723 8p6e14 12725 9p4e13 12730 9p5e14 12731 4t4e16 12740 5t4e20 12743 6t4e24 12747 7t4e28 12752 8t4e32 12758 9t4e36 12765 fz0to4untppr 13581 4bc2eq6 14288 bpoly3 16020 bpoly4 16021 fsumcube 16022 ef4p 16077 ef01bndlem 16148 ge2nprmge4 16668 lt6abl 19867 cphipval 25207 sincosq4sgn 26462 binom4 26811 quart1lem 26816 log2cnv 26905 ppiublem2 27163 ppiub 27164 chtub 27172 bclbnd 27240 bposlem8 27251 lgsdir2lem3 27287 3wlkdlem1 30226 ipval2 30775 problem3 35846 aks4d1p1p7 42510 rmydioph 43439 rmxdioph 43441 expdiophlem2 43447 lt4addmuld 45736 stoweidlem13 46438 sin5tlem2 47317 m1modnep2mod 47797 4even 48176 sbgoldbo 48254 ackval40 49160 ackval41a 49161 ackval42 49163 |
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