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Definition df-bl 17792
Description: Define the metric space ball function. See blval 19941 for its value. (Contributed by NM, 30-Aug-2006.) (Revised by Thierry Arnoux, 11-Feb-2018.)
Assertion
Ref Expression
df-bl
Distinct variable group:   , , ,

Detailed syntax breakdown of Definition df-bl
StepHypRef Expression
1 cbl 17783 . 2
2 vd . . 3
3 cvv 2967 . . 3
4 vx . . . 4
5 vz . . . 4
62cv 1368 . . . . . 6
76cdm 4835 . . . . 5
87cdm 4835 . . . 4
9 cxr 9409 . . . 4
104cv 1368 . . . . . . 7
11 vy . . . . . . . 8
1211cv 1368 . . . . . . 7
1310, 12, 6co 6086 . . . . . 6
145cv 1368 . . . . . 6
15 clt 9410 . . . . . 6
1613, 14, 15wbr 4287 . . . . 5
1716, 11, 8crab 2714 . . . 4
184, 5, 8, 9, 17cmpt2 6088 . . 3
192, 3, 18cmpt 4345 . 2
201, 19wceq 1369 1
Colors of variables: wff setvar class
This definition is referenced by:  blfvalps  19938
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