Theorems · Theorem · convex and discrete geometry

IsExposed.isCompact

∀ {𝕜 : Type u_1} {E : Type u_2} [inst : TopologicalSpace 𝕜] [inst_1 : Ring 𝕜] [inst_2 : PartialOrder 𝕜]
  [inst_3 : AddCommMonoid E] [inst_4 : TopologicalSpace E] [inst_5 : Module 𝕜 E] [OrderClosedTopology 𝕜] [T2Space E]
  {A B : Set E}, IsExposed 𝕜 A B → IsCompact A → IsCompact B

Defined in

Mathlib.Analysis.Convex.Exposed

Cited by

1 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceRingPartialOrderAddCommMonoidTopologicalSpaceModuleOrderClosedTopologyT2Space