EuclideanGeometry.Sphere.orthogonalProjection_orthRadius_center
∀ {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),
↑((EuclideanGeometry.orthogonalProjection (s.orthRadius p)) s.center) = p- Cited by
- 0 results in Mathlib
- Foundations
- Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites23
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- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Submodulestatement · cited by 7,192
- 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
- AffineSubspace.directionstatement and proof · cited by 339
- ContinuousAffineMapstatement · cited by 263
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