AffineSubspace.signedInfDist_def
∀ {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 : AffineSubspace ℝ P) [inst_4 : Nonempty ↥s]
[inst_5 : s.direction.HasOrthogonalProjection] (p : P),
s.signedInfDist p = (signedDist (p -ᵥ ↑((EuclideanGeometry.orthogonalProjection s) p))) ↑Classical.ofNonempty- Defined in
- Mathlib.Geometry.Euclidean.SignedDist
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- NormedAddTorsorstatement and proof · cited by 1,325
- AffineSubspacestatement and proof · cited by 871
- VSub.vsubstatement · cited by 817
- AffineMapstatement · cited by 674
- AffineSubspace.directionstatement and proof · cited by 339
- ContinuousAffineMapstatement · cited by 263
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