Theorems · Theorem · convex and discrete geometry

mem_intrinsicFrontier

∀ {𝕜 : Type u_1} {V : Type u_2} {P : Type u_5} [inst : Ring 𝕜] [inst_1 : AddCommGroup V] [inst_2 : Module 𝕜 V]
  [inst_3 : TopologicalSpace P] [inst_4 : AddTorsor V P] {s : Set P} {x : P},
  x ∈ intrinsicFrontier 𝕜 s ↔ ∃ y ∈ frontier (Subtype.val ⁻¹' s), ↑y = x

Defined in

Mathlib.Analysis.Convex.Intrinsic

Cited by

0 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleTopologicalSpaceAddTorsor