AffineSubspace.signedInfDist.congr_simp
∀ {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] (s s_1 : AffineSubspace ℝ P) (e_s : s = s_1) [inst_4 : Nonempty ↥s]
[inst_5 : s.direction.HasOrthogonalProjection] (p p_1 : P), p = p_1 → s.signedInfDist p = s_1.signedInfDist p_1- 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- NormedAddTorsorstatement and proof · cited by 1,325
- AffineSubspacestatement and proof · cited by 871
- AffineSubspace.directionstatement and proof · cited by 339
- ContinuousAffineMapstatement · cited by 263
- Submodule.HasOrthogonalProjectionstatement and proof · cited by 245
- AffineSubspace.signedInfDiststatement and proof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Affine.Simplex.signedInfDist_reindexproof · cited by 0