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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 12423 | . 2 class 4 | |
| 2 | c3 12422 | . . 3 class 3 | |
| 3 | c1 11225 | . . 3 class 1 | |
| 4 | caddc 11227 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7440 | . 2 class (3 + 1) |
| 6 | 1, 5 | wceq 1570 | 1 wff 4 = (3 + 1) |
| Colors of variables: wff setvar class |
| This definition is used by: 4nn 12450 4re 12451 4cn 12452 4m1e3 12495 2p2e4 12501 3p1e4 12511 3p2e5 12517 4p4e8 12521 5p4e9 12524 3lt4 12543 6p4e10 12915 7p4e11 12919 7p7e14 12922 8p4e12 12925 8p6e14 12927 9p4e13 12932 9p5e14 12933 4t4e16 12942 5t4e20 12945 6t4e24 12949 7t4e28 12954 8t4e32 12960 9t4e36 12967 fz0to4untppr 13788 4bc2eq6 14497 bpoly3 16250 bpoly4 16251 fsumcube 16252 ef4p 16307 ef01bndlem 16378 ge2nprmge4 16903 lt6abl 20136 cphipval 25591 sincosq4sgn 26857 binom4 27205 quart1lem 27210 log2cnv 27299 ppiublem2 27557 ppiub 27558 chtub 27566 bclbnd 27634 bposlem8 27645 lgsdir2lem3 27681 3wlkdlem1 30787 ipval2 31336 problem3 36598 aks4d1p1p7 43315 1p4e5 43502 rmydioph 44212 rmxdioph 44214 expdiophlem2 44220 lt4addmuld 46525 stoweidlem13 47226 sin5tlem2 48123 goldpolyfactor 48130 m1modnep2mod 48631 4even 49010 sbgoldbo 49088 ackval40 50008 ackval41a 50009 ackval42 50011 |
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