Definition df-ds

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 instead. (New usage is discouraged.)

	Ref	Expression
Assertion	df-ds	$$⊢\mathrm{dist}=\mathrm{Slot}12$$

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		cds	$$class\mathrm{dist}$$
1		c1	$$class1$$
2		c2	$$class2$$
3	1 2	cdc	$$class12$$
4	3	cslot	$$class\mathrm{Slot}12$$
5	0 4	wceq	$$wff\mathrm{dist}=\mathrm{Slot}12$$