signedDist_vadd_right
∀ {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 w : V) (p q : P),
((signedDist v) p) (w +ᵥ q) = inner ℝ (NormedSpace.normalize v) w + ((signedDist v) p) q- Defined in
- Mathlib.Geometry.Euclidean.SignedDist
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 181 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
- HVAdd.hVAddstatement and proof · cited by 1,820
- MetricSpacestatement and proof · cited by 1,684
- NormedAddTorsorstatement and proof · cited by 1,325
- Inner.innerstatement and proof · cited by 1,089
- AffineMapstatement · cited by 674
- ContinuousAffineMapstatement · cited by 263
- signedDiststatement and proof · cited by 42
- NormedSpace.normalizestatement and proof · cited by 31
Cited by2
Results whose statement or proof uses this declaration.
- signedDist_vadd_left_swapproof · cited by 2
- signedDist_right_congrproof · cited by 1