EuclideanGeometry.reflection.congr_simp
∀ {𝕜 : Type u_1} {V : Type u_2} {P : Type u_3} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup V]
[inst_2 : InnerProductSpace 𝕜 V] [inst_3 : MetricSpace P] [inst_4 : NormedAddTorsor V P] (s s_1 : AffineSubspace 𝕜 P)
(e_s : s = s_1) [inst_5 : Nonempty ↥s] [inst_6 : s.direction.HasOrthogonalProjection],
EuclideanGeometry.reflection s = EuclideanGeometry.reflection s_1- Defined in
- Mathlib.Geometry.Euclidean.Projection
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- MetricSpacestatement and proof · cited by 1,684
- NormedAddTorsorstatement and proof · cited by 1,325
- AffineSubspacestatement and proof · cited by 871
- AffineSubspace.directionstatement and proof · cited by 339
- Submodule.HasOrthogonalProjectionstatement and proof · cited by 245
- AffineIsometryEquivstatement · cited by 118
- EuclideanGeometry.reflectionstatement and proof · cited by 24
Cited by2
Results whose statement or proof uses this declaration.
- Affine.Triangle.dist_orthocenter_reflection_circumcenter_finsetproof · cited by 0
- Affine.Triangle.dist_circumcenter_reflection_orthocenter_finsetproof · cited by 0