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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 11072 | . 2 class 4 | |
2 | c3 11071 | . . 3 class 3 | |
3 | c1 9937 | . . 3 class 1 | |
4 | caddc 9939 | . . 3 class + | |
5 | 2, 3, 4 | co 6650 | . 2 class (3 + 1) |
6 | 1, 5 | wceq 1483 | 1 wff 4 = (3 + 1) |
Colors of variables: wff setvar class |
This definition is referenced by: 4re 11097 4pos 11116 4m1e3 11138 2p2e4 11144 3p1e4 11153 3p2e5 11160 4p4e8 11164 5p4e9 11167 6p4e10OLD 11171 4nn 11187 3lt4 11197 halfpm6th 11253 6p4e10 11598 7p4e11 11605 7p4e11OLD 11606 7p7e14 11609 8p4e12 11614 8p6e14 11616 9p4e13 11622 9p5e14 11623 4t4e16 11633 5t4e20 11637 5t4e20OLD 11638 6t4e24 11643 7t4e28 11650 8t4e32 11656 9t4e36 11665 fz0to4untppr 12442 fzo0to42pr 12555 4bc2eq6 13116 bpoly3 14789 bpoly4 14790 fsumcube 14791 ef4p 14843 ef01bndlem 14914 lt6abl 18296 cphipval 23042 iblitg 23535 sincosq4sgn 24253 ang180lem2 24540 binom4 24577 quart1lem 24582 log2cnv 24671 ppiublem2 24928 ppiub 24929 chtub 24937 bclbnd 25005 bposlem8 25016 lgsdir2lem3 25052 3wlkdlem1 27019 ipval2 27562 problem3 31561 rmydioph 37581 rmxdioph 37583 expdiophlem2 37589 lt4addmuld 39520 stoweidlem13 40230 4even 41618 sbgoldbo 41675 |
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