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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 12350 | . 2 class 4 | |
2 | c3 12349 | . . 3 class 3 | |
3 | c1 11185 | . . 3 class 1 | |
4 | caddc 11187 | . . 3 class + | |
5 | 2, 3, 4 | co 7448 | . 2 class (3 + 1) |
6 | 1, 5 | wceq 1537 | 1 wff 4 = (3 + 1) |
Colors of variables: wff setvar class |
This definition is referenced by: 4nn 12376 4re 12377 4cn 12378 4pos 12400 4m1e3 12422 2p2e4 12428 3p1e4 12438 3p2e5 12444 4p4e8 12448 5p4e9 12451 3lt4 12467 halfpm6th 12514 6p4e10 12830 7p4e11 12834 7p7e14 12837 8p4e12 12840 8p6e14 12842 9p4e13 12847 9p5e14 12848 4t4e16 12857 5t4e20 12860 6t4e24 12864 7t4e28 12869 8t4e32 12875 9t4e36 12882 fz0to4untppr 13687 4bc2eq6 14378 bpoly3 16106 bpoly4 16107 fsumcube 16108 ef4p 16161 ef01bndlem 16232 ge2nprmge4 16748 lt6abl 19937 cphipval 25296 sincosq4sgn 26561 binom4 26911 quart1lem 26916 log2cnv 27005 ppiublem2 27265 ppiub 27266 chtub 27274 bclbnd 27342 bposlem8 27353 lgsdir2lem3 27389 3wlkdlem1 30191 ipval2 30739 problem3 35635 aks4d1p1p7 42031 rmydioph 42971 rmxdioph 42973 expdiophlem2 42979 lt4addmuld 45221 stoweidlem13 45934 4even 47583 sbgoldbo 47661 ackval40 48427 ackval41a 48428 ackval42 48430 |
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