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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 12219 | . 2 class 4 | |
| 2 | c3 12218 | . . 3 class 3 | |
| 3 | c1 11045 | . . 3 class 1 | |
| 4 | caddc 11047 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7369 | . 2 class (3 + 1) |
| 6 | 1, 5 | wceq 1540 | 1 wff 4 = (3 + 1) |
| Colors of variables: wff setvar class |
| This definition is referenced by: 4nn 12245 4re 12246 4cn 12247 4pos 12269 4m1e3 12286 2p2e4 12292 3p1e4 12302 3p2e5 12308 4p4e8 12312 5p4e9 12315 3lt4 12331 6p4e10 12697 7p4e11 12701 7p7e14 12704 8p4e12 12707 8p6e14 12709 9p4e13 12714 9p5e14 12715 4t4e16 12724 5t4e20 12727 6t4e24 12731 7t4e28 12736 8t4e32 12742 9t4e36 12749 fz0to4untppr 13567 4bc2eq6 14270 bpoly3 16000 bpoly4 16001 fsumcube 16002 ef4p 16057 ef01bndlem 16128 ge2nprmge4 16647 lt6abl 19801 cphipval 25119 sincosq4sgn 26386 binom4 26736 quart1lem 26741 log2cnv 26830 ppiublem2 27090 ppiub 27091 chtub 27099 bclbnd 27167 bposlem8 27178 lgsdir2lem3 27214 3wlkdlem1 30061 ipval2 30609 problem3 35627 aks4d1p1p7 42035 rmydioph 42976 rmxdioph 42978 expdiophlem2 42984 lt4addmuld 45277 stoweidlem13 45984 m1modnep2mod 47326 4even 47683 sbgoldbo 47761 ackval40 48655 ackval41a 48656 ackval42 48658 |
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