Mathlib Map

Structures · Topology

IsLeftUniformAddGroup

A left-uniform additive group is a topological additive group endowed with the associated left uniform structure: the uniformity filter 𝓤 G is the inverse image of 𝓝 0 by the map (x, y) ↦ (-x) + y. In other words, we declare that two points x and y are infinitely close precisely when (-x) + y is infinitely close to 0.

Defined in
Mathlib.Topology.Algebra.IsUniformGroup.Defs
Shape
One type argument · adds uniformity_eq

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