Theorems · Definition · geometry

Polygon.HasNondegenerateVertices

(R : Type u_1) →
  {V : Type u_2} →
    {P : Type u_3} →
      {n : ℕ} →
        [inst : Ring R] → [inst_1 : AddCommGroup V] → [Module R V] → [AddTorsor V P] → [NeZero n] → Polygon P n → Prop

A polygon has nondegenerate vertices if any three consecutive vertices are affinely independent.

Defined in

Mathlib.Geometry.Polygon.Basic

Cited by

5 results in Mathlib

Foundations

Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsorNeZero