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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 11852 | . 2 class 4 | |
2 | c3 11851 | . . 3 class 3 | |
3 | c1 10695 | . . 3 class 1 | |
4 | caddc 10697 | . . 3 class + | |
5 | 2, 3, 4 | co 7191 | . 2 class (3 + 1) |
6 | 1, 5 | wceq 1543 | 1 wff 4 = (3 + 1) |
Colors of variables: wff setvar class |
This definition is referenced by: 4nn 11878 4re 11879 4cn 11880 4pos 11902 4m1e3 11924 2p2e4 11930 3p1e4 11940 3p2e5 11946 4p4e8 11950 5p4e9 11953 3lt4 11969 halfpm6th 12016 6p4e10 12330 7p4e11 12334 7p7e14 12337 8p4e12 12340 8p6e14 12342 9p4e13 12347 9p5e14 12348 4t4e16 12357 5t4e20 12360 6t4e24 12364 7t4e28 12369 8t4e32 12375 9t4e36 12382 fz0to4untppr 13180 4bc2eq6 13860 bpoly3 15583 bpoly4 15584 fsumcube 15585 ef4p 15637 ef01bndlem 15708 ge2nprmge4 16221 lt6abl 19234 cphipval 24094 sincosq4sgn 25345 binom4 25687 quart1lem 25692 log2cnv 25781 ppiublem2 26038 ppiub 26039 chtub 26047 bclbnd 26115 bposlem8 26126 lgsdir2lem3 26162 3wlkdlem1 28196 ipval2 28742 problem3 33292 aks4d1p1p7 39764 rmydioph 40480 rmxdioph 40482 expdiophlem2 40488 lt4addmuld 42459 stoweidlem13 43172 4even 44777 sbgoldbo 44855 ackval40 45655 ackval41a 45656 ackval42 45658 |
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