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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 12276 | . 2 class 4 | |
| 2 | c3 12275 | . . 3 class 3 | |
| 3 | c1 11076 | . . 3 class 1 | |
| 4 | caddc 11078 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7398 | . 2 class (3 + 1) |
| 6 | 1, 5 | wceq 1562 | 1 wff 4 = (3 + 1) |
| Colors of variables: wff setvar class |
| This definition is referenced by: 4nn 12303 4re 12304 4cn 12305 4m1e3 12348 2p2e4 12354 3p1e4 12364 3p2e5 12370 4p4e8 12374 5p4e9 12377 3lt4 12396 6p4e10 12767 7p4e11 12771 7p7e14 12774 8p4e12 12777 8p6e14 12779 9p4e13 12784 9p5e14 12785 4t4e16 12794 5t4e20 12797 6t4e24 12801 7t4e28 12806 8t4e32 12812 9t4e36 12819 fz0to4untppr 13637 4bc2eq6 14344 bpoly3 16090 bpoly4 16091 fsumcube 16092 ef4p 16147 ef01bndlem 16218 ge2nprmge4 16738 lt6abl 19937 cphipval 25307 sincosq4sgn 26568 binom4 26917 quart1lem 26922 log2cnv 27011 ppiublem2 27269 ppiub 27270 chtub 27278 bclbnd 27346 bposlem8 27357 lgsdir2lem3 27393 3wlkdlem1 30363 ipval2 30912 problem3 36022 aks4d1p1p7 42696 rmydioph 43596 rmxdioph 43598 expdiophlem2 43604 lt4addmuld 45890 stoweidlem13 46592 sin5tlem2 47473 m1modnep2mod 47957 4even 48336 sbgoldbo 48414 ackval40 49320 ackval41a 49321 ackval42 49323 |
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