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Theorems · Inductive type · functional analysis

SeminormedAddCommGroup

Type u_8 → Type u_8

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

Defined in
Mathlib.Analysis.Normed.Group.Defs
Cited by
2,671 results in Mathlib
Foundations
Depth 0 from the axioms, rests on 1 definitions · uses no axioms

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Cited by3,073

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