Theorems · Theorem · Lie groups

IsTopologicalGroup.continuous_conj

∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : Inv G] [inst_2 : Mul G] [SeparatelyContinuousMul G] (g : G),
  Continuous fun h => g * h * g⁻¹

Conjugation by a fixed element is continuous when mul 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

TopologicalSpaceInvMulSeparatelyContinuousMul