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| Mirrors > Home > ILE Home > Th. List > df-ds | GIF version | ||
| Description: Define the distance function component of a metric space (structure). (Contributed by NM, 4-Sep-2011.) (Revised by Mario Carneiro, 14-Aug-2015.) | 
| Ref | Expression | 
|---|---|
| df-ds | ⊢ dist = Slot ;12 | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | cds 12764 | . 2 class dist | |
| 2 | c1 7880 | . . . 4 class 1 | |
| 3 | c2 9041 | . . . 4 class 2 | |
| 4 | 2, 3 | cdc 9457 | . . 3 class ;12 | 
| 5 | 4 | cslot 12677 | . 2 class Slot ;12 | 
| 6 | 1, 5 | wceq 1364 | 1 wff dist = Slot ;12 | 
| Colors of variables: wff set class | 
| This definition is referenced by: dsndx 12888 dsid 12889 dsslid 12890 | 
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