EuclideanGeometry.Sphere.orthRadius_le_orthRadius_iff
∀ {V : Type u_1} {P : Type u_2} [inst : NormedAddCommGroup V] [inst_1 : InnerProductSpace ℝ V] [inst_2 : MetricSpace P]
[inst_3 : NormedAddTorsor V P] {s : EuclideanGeometry.Sphere P} {p q : P},
s.orthRadius p ≤ s.orthRadius q ↔ p = q ∨ q = s.center- Cited by
- 2 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites36
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- InnerProductSpacestatement and proof · cited by 3,523
- one_mulproof · cited by 2,841
- MetricSpacestatement and proof · cited by 1,684
- mul_assocproof · cited by 1,667
- Submodule.spanproof · cited by 1,504
- one_smulproof · cited by 1,374
- NormedAddTorsorstatement and proof · cited by 1,325
- Inner.innerproof · cited by 1,089
- AffineSubspacestatement · cited by 871
- VSub.vsubproof · cited by 817
Cited by2
Results whose statement or proof uses this declaration.
- EuclideanGeometry.Sphere.isTangent_orthRadius_iff_memproof · cited by 1
- EuclideanGeometry.Sphere.orthRadius_eq_orthRadius_iffproof · cited by 1