EuclideanGeometry.Sphere.self_mem_orthRadius
∀ {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 : P), p ∈ s.orthRadius p- Cited by
- 4 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- MetricSpacestatement and proof · cited by 1,684
- Submodule.spanproof · cited by 1,504
- NormedAddTorsorstatement and proof · cited by 1,325
- AffineSubspacestatement · cited by 871
- VSub.vsubproof · cited by 817
- Submodule.orthogonalproof · cited by 257
- EuclideanGeometry.Spherestatement and proof · cited by 233
- EuclideanGeometry.Sphere.centerproof · cited by 181
- EuclideanGeometry.Sphere.orthRadiusstatement · cited by 41
Cited by4
Results whose statement or proof uses this declaration.
- EuclideanGeometry.Sphere.orthRadius_le_orthRadius_iffproof · cited by 2
- EuclideanGeometry.Sphere.isTangentAt_orthRadius_iff_memproof · cited by 1