Definition df-ds 17255

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 17367 instead. (New usage is discouraged.)

Assertion

Ref	Expression
df-ds	⊢ dist = Slot ;12

Detailed syntax breakdown of Definition df-ds

Step	Hyp	Ref	Expression
1		cds 17242	. 2 class dist
2		c1 11140	. . . 4 class 1
3		c2 12298	. . . 4 class 2
4	2, 3	cdc 12708	. . 3 class ;12
5	4	cslot 17150	. 2 class Slot ;12
6	1, 5	wceq 1534	1 wff dist = Slot ;12

This definition is referenced by:  dsndx  17366  dsid  17367  mgpdsOLD  20088  sradsOLD  21078  tmslemOLD  24404  tngdsOLD  24578  ttgdsOLD  28704