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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 12173 | . 2 class 4 | |
| 2 | c3 12172 | . . 3 class 3 | |
| 3 | c1 10998 | . . 3 class 1 | |
| 4 | caddc 11000 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7340 | . 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 12199 4re 12200 4cn 12201 4pos 12223 4m1e3 12240 2p2e4 12246 3p1e4 12256 3p2e5 12262 4p4e8 12266 5p4e9 12269 3lt4 12285 6p4e10 12651 7p4e11 12655 7p7e14 12658 8p4e12 12661 8p6e14 12663 9p4e13 12668 9p5e14 12669 4t4e16 12678 5t4e20 12681 6t4e24 12685 7t4e28 12690 8t4e32 12696 9t4e36 12703 fz0to4untppr 13521 4bc2eq6 14224 bpoly3 15952 bpoly4 15953 fsumcube 15954 ef4p 16009 ef01bndlem 16080 ge2nprmge4 16599 lt6abl 19761 cphipval 25124 sincosq4sgn 26391 binom4 26741 quart1lem 26746 log2cnv 26835 ppiublem2 27095 ppiub 27096 chtub 27104 bclbnd 27172 bposlem8 27183 lgsdir2lem3 27219 3wlkdlem1 30090 ipval2 30638 problem3 35657 aks4d1p1p7 42064 rmydioph 43004 rmxdioph 43006 expdiophlem2 43012 lt4addmuld 45304 stoweidlem13 46008 m1modnep2mod 47350 4even 47707 sbgoldbo 47785 ackval40 48692 ackval41a 48693 ackval42 48695 |
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