Theorems · Theorem · Lie groups

IsTopologicalAddGroup.continuous_addConj

∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : Neg G] [inst_2 : Add G] [SeparatelyContinuousAdd G] (g : G),
  Continuous fun h => g + h + -g

Conjugation by a fixed element is continuous when add is continuous.

Defined in

Mathlib.Topology.Algebra.Group.Basic

Cited by

2 results in Mathlib

Foundations

Depth 8 from the axioms · uses no axioms

Assumes

TopologicalSpaceNegAddSeparatelyContinuousAdd