Theorems · Theorem · general topology

eventually_homothety_image_subset_of_finite_subset_interior

∀ (R : Type u_1) {W : Type u_4} {Q : Type u_5} [inst : AddCommGroup W] [inst_1 : TopologicalSpace W]
  [inst_2 : AddTorsor W Q] [inst_3 : TopologicalSpace Q] [IsTopologicalAddTorsor Q] [inst_5 : CommRing R]
  [inst_6 : TopologicalSpace R] [inst_7 : Module R W] [ContinuousSMul R W] (x : Q) {s t : Set Q},
  t.Finite → t ⊆ interior s → ∀ᶠ (δ : R) in nhds 1, ⇑(AffineMap.homothety x δ) '' t ⊆ s

Defined in

Mathlib.Topology.Algebra.Affine

Cited by

0 results in Mathlib

Foundations

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

Assumes

AddCommGroupTopologicalSpaceAddTorsorTopologicalSpaceIsTopologicalAddTorsorCommRingTopologicalSpaceModuleContinuousSMul