Theorems · Theorem · functional analysis
dist_pointReflection_right
∀ {V : Type u_1} {P : Type u_2} [inst : SeminormedAddCommGroup V] [inst_1 : PseudoMetricSpace P]
[inst_2 : NormedAddTorsor V P] (𝕜 : Type u_5) [inst_3 : NormedField 𝕜] [NormedSpace 𝕜 V] (p q : P),
dist ((Equiv.pointReflection p) q) q = ‖2‖ * dist p q- Defined in
- Mathlib.Analysis.Normed.Affine.AddTorsor
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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 · cited by 25,697
- Moduleproof · cited by 20,661
- NormedSpacestatement and proof · cited by 12,499
- AddCommMonoidproof · cited by 12,281
- Norm.normstatement and proof · cited by 5,413
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- AddTorsorproof · cited by 1,657
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.diststatement · cited by 1,539
- Equiv.Permstatement · cited by 1,375
- NormedAddTorsorstatement and proof · cited by 1,325
Cited by1
Results whose statement or proof uses this declaration.
- dist_right_pointReflectionproof · cited by 0