signedDist_zero
∀ {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] (p q : P), ((signedDist 0) p) q = 0- Defined in
- Mathlib.Geometry.Euclidean.SignedDist
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- MetricSpacestatement and proof · cited by 1,684
- MulZeroClass.zero_mulproof · cited by 1,625
- NormedAddTorsorstatement and proof · cited by 1,325
- AffineMapstatement · cited by 674
- smul_zeroproof · cited by 665
- ContinuousAffineMapstatement · cited by 263
- SignType.castproof · cited by 76
- signedDiststatement and proof · cited by 42
Cited by1
Results whose statement or proof uses this declaration.
- AffineSubspace.signedInfDist_eq_const_of_memproof · cited by 0