Definition df-ds 16446

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 16433	. 2 class dist
2		c1 10338	. . . 4 class 1
3		c2 11498	. . . 4 class 2
4	2, 3	cdc 11914	. . 3 class ;12
5	4	cslot 16341	. 2 class Slot ;12
6	1, 5	wceq 1507	1 wff dist = Slot ;12

This definition is referenced by:  dsndx  16534  dsid  16535  ressds  16545  mgpds  18975  srads  19683  tmslem  22798  tngds  22963  ttgds  26373