Metamath Proof Explorer


Definition df-ds

Description: Define the distance function component of a metric space (structure). (Contributed by NM, 4-Sep-2011) (Revised by Mario Carneiro, 14-Aug-2015) Use its index-independent form dsid instead. (New usage is discouraged.)

Ref Expression
Assertion df-ds dist = Slot 1 2

Detailed syntax breakdown

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