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Definition df-nrg 20577
Description: A normed ring is a ring with an induced topology and metric such that the metric is translation-invariant and the norm (distance from 0) is an absolute value on the ring. (Contributed by Mario Carneiro, 4-Oct-2015.)
Assertion
Ref Expression
df-nrg

Detailed syntax breakdown of Definition df-nrg
StepHypRef Expression
1 cnrg 20571 . 2
2 vw . . . . . 6
32cv 1369 . . . . 5
4 cnm 20568 . . . . 5
53, 4cfv 5537 . . . 4
6 cabv 17077 . . . . 5
73, 6cfv 5537 . . . 4
85, 7wcel 1758 . . 3
9 cngp 20569 . . 3
108, 2, 9crab 2804 . 2
111, 10wceq 1370 1
Colors of variables: wff setvar class
This definition is referenced by:  isnrg  20640
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