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 | ||
---|---|---|---|
Assertion | df-ds | |- dist = Slot ; 1 2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
0 | cds | |- dist |
|
1 | c1 | |- 1 |
|
2 | c2 | |- 2 |
|
3 | 1 2 | cdc | |- ; 1 2 |
4 | 3 | cslot | |- Slot ; 1 2 |
5 | 0 4 | wceq | |- dist = Slot ; 1 2 |