EuclideanGeometry.cospherical_def
∀ {P : Type u_2} [inst : MetricSpace P] (ps : Set P),
EuclideanGeometry.Cospherical ps ↔ ∃ center radius, ∀ p ∈ ps, dist p center = radiusThe definition of Cospherical.
- Defined in
- Mathlib.Geometry.Euclidean.Sphere.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- MetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement · cited by 25,697
- MetricSpacestatement and proof · cited by 1,684
- Dist.diststatement · cited by 1,539
- EuclideanGeometry.Cosphericalstatement · cited by 39
Cited by1
Results whose statement or proof uses this declaration.
- EuclideanGeometry.mul_dist_eq_mul_dist_of_cosphericalproof · cited by 2