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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 12216 | . 2 class 4 | |
| 2 | c3 12215 | . . 3 class 3 | |
| 3 | c1 11041 | . . 3 class 1 | |
| 4 | caddc 11043 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7370 | . 2 class (3 + 1) |
| 6 | 1, 5 | wceq 1542 | 1 wff 4 = (3 + 1) |
| Colors of variables: wff setvar class |
| This definition is referenced by: 4nn 12242 4re 12243 4cn 12244 4pos 12266 4m1e3 12283 2p2e4 12289 3p1e4 12299 3p2e5 12305 4p4e8 12309 5p4e9 12312 3lt4 12328 6p4e10 12693 7p4e11 12697 7p7e14 12700 8p4e12 12703 8p6e14 12705 9p4e13 12710 9p5e14 12711 4t4e16 12720 5t4e20 12723 6t4e24 12727 7t4e28 12732 8t4e32 12738 9t4e36 12745 fz0to4untppr 13560 4bc2eq6 14266 bpoly3 15995 bpoly4 15996 fsumcube 15997 ef4p 16052 ef01bndlem 16123 ge2nprmge4 16642 lt6abl 19841 cphipval 25216 sincosq4sgn 26483 binom4 26833 quart1lem 26838 log2cnv 26927 ppiublem2 27187 ppiub 27188 chtub 27196 bclbnd 27264 bposlem8 27275 lgsdir2lem3 27311 3wlkdlem1 30252 ipval2 30801 problem3 35889 aks4d1p1p7 42473 rmydioph 43400 rmxdioph 43402 expdiophlem2 43408 lt4addmuld 45697 stoweidlem13 46400 m1modnep2mod 47741 4even 48098 sbgoldbo 48176 ackval40 49082 ackval41a 49083 ackval42 49085 |
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