Theorems · Theorem · convex and discrete geometry

Convex.intrinsicClosure

∀ {𝕜 : Type u_1} {V : Type u_2} [inst : Field 𝕜] [inst_1 : LinearOrder 𝕜] [inst_2 : AddCommGroup V]
  [inst_3 : Module 𝕜 V] [inst_4 : TopologicalSpace V] [IsTopologicalAddGroup V] [ContinuousConstSMul 𝕜 V] {s : Set V},
  Convex 𝕜 s → Convex 𝕜 (intrinsicClosure 𝕜 s)

Defined in

Mathlib.Analysis.Convex.Intrinsic

Cited by

0 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldLinearOrderAddCommGroupModuleTopologicalSpaceIsTopologicalAddGroupContinuousConstSMul