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| Mirrors > Home > ILE Home > Th. List > df-4 | 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 9359 | . 2 class 4 | |
| 2 | c3 9358 | . . 3 class 3 | |
| 3 | c1 8180 | . . 3 class 1 | |
| 4 | caddc 8182 | . . 3 class + | |
| 5 | 2, 3, 4 | co 6085 | . 2 class (3 + 1) |
| 6 | 1, 5 | wceq 1402 | 1 wff 4 = (3 + 1) |
| Colors of variables: wff set class |
| This definition is used by: 4re 9383 4pos 9403 4m1e3 9427 2p2e4 9433 3p1e4 9442 3p2e5 9448 4p4e8 9452 5p4e9 9455 4nn 9472 3lt4 9481 halfpm6th 9529 6p4e10 9857 7p4e11 9861 7p7e14 9864 8p4e12 9867 8p6e14 9869 9p4e13 9874 9p5e14 9875 4t4e16 9884 5t4e20 9887 6t4e24 9891 7t4e28 9896 8t4e32 9902 9t4e36 9909 fz0to4untppr 10541 fzo0to42pr 10648 4bc2eq6 11227 ef4p 12477 ef01bndlem 12539 sincosq4sgn 15980 binom4 16138 ppiublem2 16193 ppiqub 16194 bclbnd 16205 lgsdir2lem3 16247 |
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