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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 12789 | . 2 class dist | |
| 2 | c1 7897 | . . . 4 class 1 | |
| 3 | c2 9058 | . . . 4 class 2 | |
| 4 | 2, 3 | cdc 9474 | . . 3 class ;12 |
| 5 | 4 | cslot 12702 | . 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 12917 dsid 12918 dsslid 12919 |
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