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Mirrors > Home > MPE Home > Th. List > df-ds | Structured version Visualization version GIF version |
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 17336 instead. (New usage is discouraged.) |
Ref | Expression |
---|---|
df-ds | ⊢ dist = Slot ;12 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cds 17211 | . 2 class dist | |
2 | c1 11108 | . . . 4 class 1 | |
3 | c2 12266 | . . . 4 class 2 | |
4 | 2, 3 | cdc 12676 | . . 3 class ;12 |
5 | 4 | cslot 17119 | . 2 class Slot ;12 |
6 | 1, 5 | wceq 1533 | 1 wff dist = Slot ;12 |
Colors of variables: wff setvar class |
This definition is referenced by: dsndx 17335 dsid 17336 mgpdsOLD 20049 sradsOLD 21037 tmslemOLD 24335 tngdsOLD 24509 ttgdsOLD 28632 |
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