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Metamath Proof Explorer

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	⊢ dist = Slot ; 1 2

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		cds	⊢ dist
1		c1	⊢ 1
2		c2	⊢ 2
3	1 2	cdc	⊢ ; 1 2
4	3	cslot	⊢ Slot ; 1 2
5	0 4	wceq	⊢ dist = Slot ; 1 2