AffineIsometryEquiv.dist_pointReflection_fixed
∀ {𝕜 : Type u_1} {V : Type u_2} {P : Type u_10} [inst : NormedField 𝕜] [inst_1 : SeminormedAddCommGroup V]
[inst_2 : NormedSpace 𝕜 V] [inst_3 : PseudoMetricSpace P] [inst_4 : NormedAddTorsor V P] (x y : P),
dist ((AffineIsometryEquiv.pointReflection 𝕜 x) y) x = dist y x- Defined in
- Mathlib.Analysis.Normed.Affine.Isometry
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- NormedSpacestatement and proof · cited by 12,499
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.diststatement and proof · cited by 1,539
- NormedAddTorsorstatement and proof · cited by 1,325
- NormedFieldstatement and proof · cited by 1,084
- AffineIsometryEquivstatement · cited by 118
- AffineIsometryEquiv.pointReflectionstatement and proof · cited by 14
- AffineIsometryEquiv.dist_mapproof · cited by 3
- AffineIsometryEquiv.pointReflection_selfproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsometryEquiv.midpoint_fixedproof · cited by 1