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)

Ref Expression
Assertion df-ds dist = Slot 12

Detailed syntax breakdown

Step Hyp Ref Expression
0 cds class dist
1 c1 class 1
2 c2 class 2
3 1 2 cdc class 12
4 3 cslot class Slot 12
5 0 4 wceq wff dist = Slot 12