| Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
| 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 12295 | . 2 class 4 | |
| 2 | c3 12294 | . . 3 class 3 | |
| 3 | c1 11128 | . . 3 class 1 | |
| 4 | caddc 11130 | . . 3 class + | |
| 5 | 2, 3, 4 | co 7403 | . 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 12321 4re 12322 4cn 12323 4pos 12345 4m1e3 12367 2p2e4 12373 3p1e4 12383 3p2e5 12389 4p4e8 12393 5p4e9 12396 3lt4 12412 6p4e10 12778 7p4e11 12782 7p7e14 12785 8p4e12 12788 8p6e14 12790 9p4e13 12795 9p5e14 12796 4t4e16 12805 5t4e20 12808 6t4e24 12812 7t4e28 12817 8t4e32 12823 9t4e36 12830 fz0to4untppr 13645 4bc2eq6 14345 bpoly3 16072 bpoly4 16073 fsumcube 16074 ef4p 16129 ef01bndlem 16200 ge2nprmge4 16718 lt6abl 19874 cphipval 25193 sincosq4sgn 26460 binom4 26810 quart1lem 26815 log2cnv 26904 ppiublem2 27164 ppiub 27165 chtub 27173 bclbnd 27241 bposlem8 27252 lgsdir2lem3 27288 3wlkdlem1 30086 ipval2 30634 problem3 35635 aks4d1p1p7 42033 rmydioph 42985 rmxdioph 42987 expdiophlem2 42993 lt4addmuld 45283 stoweidlem13 45990 m1modnep2mod 47329 4even 47671 sbgoldbo 47749 ackval40 48621 ackval41a 48622 ackval42 48624 |
| Copyright terms: Public domain | W3C validator |