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
Around this declaration
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Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by17,223
Results whose statement or proof uses this declaration.
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Showing the 200 most cited of 17,223.