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Theorems · Inductive type · functional analysis

NormedAddCommGroup

Type u_8 → Type u_8

A normed group is an additive group endowed with a norm for which dist x y = ‖-x + y‖ defines a metric space structure.

Defined in
Mathlib.Analysis.Normed.Group.Defs
Cited by
15,752 results in Mathlib
Foundations
Depth 0 from the axioms, rests on 1 definitions · uses no axioms

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Cited by17,223

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