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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 12227 | . 2 class 4 | |
| 2 | c3 12226 | . . 3 class 3 | |
| 3 | c1 11028 | . . 3 class 1 | |
| 4 | caddc 11030 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7356 | . 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 12253 4re 12254 4cn 12255 4pos 12277 4m1e3 12294 2p2e4 12300 3p1e4 12310 3p2e5 12316 4p4e8 12320 5p4e9 12323 3lt4 12339 6p4e10 12705 7p4e11 12709 7p7e14 12712 8p4e12 12715 8p6e14 12717 9p4e13 12722 9p5e14 12723 4t4e16 12732 5t4e20 12735 6t4e24 12739 7t4e28 12744 8t4e32 12750 9t4e36 12757 fz0to4untppr 13573 4bc2eq6 14280 bpoly3 16012 bpoly4 16013 fsumcube 16014 ef4p 16069 ef01bndlem 16140 ge2nprmge4 16660 lt6abl 19859 cphipval 25198 sincosq4sgn 26453 binom4 26802 quart1lem 26807 log2cnv 26896 ppiublem2 27154 ppiub 27155 chtub 27163 bclbnd 27231 bposlem8 27242 lgsdir2lem3 27278 3wlkdlem1 30217 ipval2 30766 problem3 35837 aks4d1p1p7 42501 rmydioph 43430 rmxdioph 43432 expdiophlem2 43438 lt4addmuld 45727 stoweidlem13 46429 sin5tlem2 47310 m1modnep2mod 47794 4even 48173 sbgoldbo 48251 ackval40 49157 ackval41a 49158 ackval42 49160 |
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