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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 12271 | . 2 class 4 | |
2 | c3 12270 | . . 3 class 3 | |
3 | c1 11113 | . . 3 class 1 | |
4 | caddc 11115 | . . 3 class + | |
5 | 2, 3, 4 | co 7411 | . 2 class (3 + 1) |
6 | 1, 5 | wceq 1541 | 1 wff 4 = (3 + 1) |
Colors of variables: wff setvar class |
This definition is referenced by: 4nn 12297 4re 12298 4cn 12299 4pos 12321 4m1e3 12343 2p2e4 12349 3p1e4 12359 3p2e5 12365 4p4e8 12369 5p4e9 12372 3lt4 12388 halfpm6th 12435 6p4e10 12751 7p4e11 12755 7p7e14 12758 8p4e12 12761 8p6e14 12763 9p4e13 12768 9p5e14 12769 4t4e16 12778 5t4e20 12781 6t4e24 12785 7t4e28 12790 8t4e32 12796 9t4e36 12803 fz0to4untppr 13606 4bc2eq6 14291 bpoly3 16004 bpoly4 16005 fsumcube 16006 ef4p 16058 ef01bndlem 16129 ge2nprmge4 16640 lt6abl 19765 cphipval 24767 sincosq4sgn 26018 binom4 26362 quart1lem 26367 log2cnv 26456 ppiublem2 26713 ppiub 26714 chtub 26722 bclbnd 26790 bposlem8 26801 lgsdir2lem3 26837 3wlkdlem1 29450 ipval2 29998 problem3 34721 aks4d1p1p7 41031 rmydioph 41841 rmxdioph 41843 expdiophlem2 41849 lt4addmuld 44101 stoweidlem13 44814 4even 46462 sbgoldbo 46540 ackval40 47463 ackval41a 47464 ackval42 47466 |
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