Definition df-ds 13455

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

Step	Hyp	Ref	Expression
1		cds 13442	. 2 class dist
2		c1 8180	. . . 4 class 1
3		c2 9356	. . . 4 class 2
4	2, 3	cdc 9779	. . 3 class ;12
5	4	cslot 13353	. 2 class Slot ;12
6	1, 5	wceq 1402	1 wff dist = Slot ;12

This definition is used by:  dsndx  13571  dsid  13572  dsslid  13573