Theorems · Definition · convex and discrete geometry

IsVisible

(𝕜 : Type u_1) →
  {V : Type u_2} →
    {P : Type u_3} →
      [inst : Field 𝕜] →
        [LinearOrder 𝕜] → [inst_2 : AddCommGroup V] → [Module 𝕜 V] → [AddTorsor V P] → Set P → P → P → Prop

Two points are visible to each other through a set if no point of that set lies strictly between them. By convention, a point x sees itself through any set s, even when x ∈ s.

Defined in

Mathlib.Analysis.Convex.Visible

Cited by

12 results in Mathlib

Foundations

Depth 48 from the axioms · uses propext, Quot.sound

Assumes

FieldLinearOrderAddCommGroupModuleAddTorsor