Theorems · Theorem · general topology

nhds_smul

∀ {α : Type u_2} {G : Type u_4} [inst : TopologicalSpace α] [inst_1 : Group G] [inst_2 : MulAction G α]
  [ContinuousConstSMul G α] (c : G) (x : α), nhds (c • x) = c • nhds x

Defined in

Mathlib.Topology.Algebra.ConstMulAction

Cited by

1 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceGroupMulActionContinuousConstSMul