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| Mirrors > Home > ILE Home > Th. List > df-5 | GIF version | ||
| Description: Define the number 5. (Contributed by NM, 27-May-1999.) | 
| Ref | Expression | 
|---|---|
| df-5 | ⊢ 5 = (4 + 1) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | c5 9044 | . 2 class 5 | |
| 2 | c4 9043 | . . 3 class 4 | |
| 3 | c1 7880 | . . 3 class 1 | |
| 4 | caddc 7882 | . . 3 class + | |
| 5 | 2, 3, 4 | co 5922 | . 2 class (4 + 1) | 
| 6 | 1, 5 | wceq 1364 | 1 wff 5 = (4 + 1) | 
| Colors of variables: wff set class | 
| This definition is referenced by: 5re 9069 5pos 9090 5m1e4 9112 4p1e5 9127 3p2e5 9132 4p2e6 9134 5nn 9155 4lt5 9166 5p5e10 9527 6p5e11 9529 7p5e12 9533 8p5e13 9539 8p7e15 9541 9p5e14 9546 9p6e15 9547 5t5e25 9559 6t5e30 9563 7t5e35 9568 8t5e40 9574 9t5e45 9581 fldiv4p1lem1div2 10395 ef01bndlem 11921 prm23lt5 12432 lgsdir2lem3 15271 2lgslem3c 15336 2lgsoddprmlem3c 15350 ex-exp 15373 ex-fac 15374 ex-bc 15375 | 
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