MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-ds Structured version   Visualization version   GIF version

Definition df-ds 16011
Description: Define the distance function component of a metric space (structure). (Contributed by NM, 4-Sep-2011.) (Revised by Mario Carneiro, 14-Aug-2015.)
Assertion
Ref Expression
df-ds dist = Slot 12

Detailed syntax breakdown of Definition df-ds
StepHypRef Expression
1 cds 15997 . 2 class dist
2 c1 9975 . . . 4 class 1
3 c2 11108 . . . 4 class 2
42, 3cdc 11531 . . 3 class 12
54cslot 15903 . 2 class Slot 12
61, 5wceq 1523 1 wff dist = Slot 12
Colors of variables: wff setvar class
This definition is referenced by:  dsndx  16109  dsid  16110  ressds  16120  mgpds  18545  srads  19234  tmslem  22334  tngds  22499  ttgds  25806
  Copyright terms: Public domain W3C validator