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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 12177 | . 2 class 4 | |
| 2 | c3 12176 | . . 3 class 3 | |
| 3 | c1 11002 | . . 3 class 1 | |
| 4 | caddc 11004 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7341 | . 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 12203 4re 12204 4cn 12205 4pos 12227 4m1e3 12244 2p2e4 12250 3p1e4 12260 3p2e5 12266 4p4e8 12270 5p4e9 12273 3lt4 12289 6p4e10 12655 7p4e11 12659 7p7e14 12662 8p4e12 12665 8p6e14 12667 9p4e13 12672 9p5e14 12673 4t4e16 12682 5t4e20 12685 6t4e24 12689 7t4e28 12694 8t4e32 12700 9t4e36 12707 fz0to4untppr 13525 4bc2eq6 14231 bpoly3 15960 bpoly4 15961 fsumcube 15962 ef4p 16017 ef01bndlem 16088 ge2nprmge4 16607 lt6abl 19802 cphipval 25165 sincosq4sgn 26432 binom4 26782 quart1lem 26787 log2cnv 26876 ppiublem2 27136 ppiub 27137 chtub 27145 bclbnd 27213 bposlem8 27224 lgsdir2lem3 27260 3wlkdlem1 30131 ipval2 30679 problem3 35703 aks4d1p1p7 42107 rmydioph 43047 rmxdioph 43049 expdiophlem2 43055 lt4addmuld 45347 stoweidlem13 46051 m1modnep2mod 47383 4even 47740 sbgoldbo 47818 ackval40 48725 ackval41a 48726 ackval42 48728 |
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