Theorems · Theorem · Lie groups

map_add_left_nhds

∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [IsTopologicalAddGroup G] (x y : G),
  Filter.map (fun x_1 => x + x_1) (nhds y) = nhds (x + y)

Defined in

Mathlib.Topology.Algebra.Group.Basic

Cited by

3 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceAddGroupIsTopologicalAddGroup