Definition df-ds 17081

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 17193 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 17068	. 2 class dist
2		c1 10977	. . . 4 class 1
3		c2 12133	. . . 4 class 2
4	2, 3	cdc 12542	. . 3 class ;12
5	4	cslot 16979	. 2 class Slot ;12
6	1, 5	wceq 1541	1 wff dist = Slot ;12

This definition is referenced by:  dsndx  17192  dsid  17193  mgpdsOLD  19828  sradsOLD  20561  tmslemOLD  23743  tngdsOLD  23917  ttgdsOLD  27536