Theorems · Theorem · dynamical systems

IsCompact.exists_finite_cover_smul

∀ (G : Type u_2) {α : Type u_3} [inst : Group G] [inst_1 : TopologicalSpace α] [inst_2 : MulAction G α]
  [MulAction.IsMinimal G α] [ContinuousConstSMul G α] {K U : Set α},
  IsCompact K → IsOpen U → U.Nonempty → ∃ I, K ⊆ ⋃ g ∈ I, g • U

Defined in

Mathlib.Dynamics.Minimal

Cited by

1 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupTopologicalSpaceMulActionMulAction.IsMinimalContinuousConstSMul