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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 12250 | . 2 class 4 | |
| 2 | c3 12249 | . . 3 class 3 | |
| 3 | c1 11076 | . . 3 class 1 | |
| 4 | caddc 11078 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7390 | . 2 class (3 + 1) |
| 6 | 1, 5 | wceq 1540 | 1 wff 4 = (3 + 1) |
| Colors of variables: wff setvar class |
| This definition is referenced by: 4nn 12276 4re 12277 4cn 12278 4pos 12300 4m1e3 12317 2p2e4 12323 3p1e4 12333 3p2e5 12339 4p4e8 12343 5p4e9 12346 3lt4 12362 6p4e10 12728 7p4e11 12732 7p7e14 12735 8p4e12 12738 8p6e14 12740 9p4e13 12745 9p5e14 12746 4t4e16 12755 5t4e20 12758 6t4e24 12762 7t4e28 12767 8t4e32 12773 9t4e36 12780 fz0to4untppr 13598 4bc2eq6 14301 bpoly3 16031 bpoly4 16032 fsumcube 16033 ef4p 16088 ef01bndlem 16159 ge2nprmge4 16678 lt6abl 19832 cphipval 25150 sincosq4sgn 26417 binom4 26767 quart1lem 26772 log2cnv 26861 ppiublem2 27121 ppiub 27122 chtub 27130 bclbnd 27198 bposlem8 27209 lgsdir2lem3 27245 3wlkdlem1 30095 ipval2 30643 problem3 35661 aks4d1p1p7 42069 rmydioph 43010 rmxdioph 43012 expdiophlem2 43018 lt4addmuld 45311 stoweidlem13 46018 m1modnep2mod 47357 4even 47714 sbgoldbo 47792 ackval40 48686 ackval41a 48687 ackval42 48689 |
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