signedDist_smul_of_pos
∀ {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] (v : V) (p q : P) {r : ℝ}, 0 < r → ((signedDist (r • v)) p) q = ((signedDist v) p) q- Defined in
- Mathlib.Geometry.Euclidean.SignedDist
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- 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
- NormedAddTorsorstatement and proof · cited by 1,325
- AffineMapstatement · cited by 674
- ContinuousAffineMapstatement · cited by 263
- SignType.castproof · cited by 76
- sign_posproof · cited by 49
- signedDiststatement and proof · cited by 42
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