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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 12320 | . 2 class 4 | |
2 | c3 12319 | . . 3 class 3 | |
3 | c1 11153 | . . 3 class 1 | |
4 | caddc 11155 | . . 3 class + | |
5 | 2, 3, 4 | co 7430 | . 2 class (3 + 1) |
6 | 1, 5 | wceq 1536 | 1 wff 4 = (3 + 1) |
Colors of variables: wff setvar class |
This definition is referenced by: 4nn 12346 4re 12347 4cn 12348 4pos 12370 4m1e3 12392 2p2e4 12398 3p1e4 12408 3p2e5 12414 4p4e8 12418 5p4e9 12421 3lt4 12437 halfpm6th 12484 6p4e10 12802 7p4e11 12806 7p7e14 12809 8p4e12 12812 8p6e14 12814 9p4e13 12819 9p5e14 12820 4t4e16 12829 5t4e20 12832 6t4e24 12836 7t4e28 12841 8t4e32 12847 9t4e36 12854 fz0to4untppr 13666 4bc2eq6 14364 bpoly3 16090 bpoly4 16091 fsumcube 16092 ef4p 16145 ef01bndlem 16216 ge2nprmge4 16734 lt6abl 19927 cphipval 25290 sincosq4sgn 26557 binom4 26907 quart1lem 26912 log2cnv 27001 ppiublem2 27261 ppiub 27262 chtub 27270 bclbnd 27338 bposlem8 27349 lgsdir2lem3 27385 3wlkdlem1 30187 ipval2 30735 problem3 35651 aks4d1p1p7 42055 rmydioph 43002 rmxdioph 43004 expdiophlem2 43010 lt4addmuld 45256 stoweidlem13 45968 m1modnep2mod 47291 4even 47633 sbgoldbo 47711 ackval40 48542 ackval41a 48543 ackval42 48545 |
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