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

Definition df-ds 13556
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 ; 1 2

Detailed syntax breakdown of Definition df-ds
StepHypRef Expression
1 cds 13543 . 2  class  dist
2 c1 8996 . . . 4  class  1
3 c2 10054 . . . 4  class  2
42, 3cdc 10387 . . 3  class ; 1 2
54cslot 13473 . 2  class Slot ; 1 2
61, 5wceq 1653 1  wff  dist  = Slot ; 1 2
Colors of variables: wff set class
This definition is referenced by:  dsndx  13635  dsid  13636  ressds  13646  mgpds  15663  srads  16262  tmslem  18517  tngds  18694
  Copyright terms: Public domain W3C validator