Theorems · Inductive type · geometry

EuclideanGeometry.Sphere.IsDiameter

{V : Type u_1} →
  {P : Type u_2} →
    [inst : NormedAddCommGroup V] →
      [NormedSpace ℝ V] → [inst_2 : MetricSpace P] → [NormedAddTorsor V P] → EuclideanGeometry.Sphere P → P → P → Prop

s.IsDiameter p₁ p₂ says that p₁ and p₂ are the two endpoints of a diameter of s.

Defined in

Mathlib.Geometry.Euclidean.Sphere.Basic

Cited by

31 results in Mathlib

Foundations

Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceMetricSpaceNormedAddTorsor