Affine.Simplex.altitudeFoot_eq_point_rev
∀ {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 : Affine.Simplex ℝ P 1) (i : Fin 2), s.altitudeFoot i = s.points i.rev- Defined in
- Mathlib.Geometry.Euclidean.Altitude
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Affine.Simplexstatement and proof · cited by 471
- Affine.Simplex.pointsstatement and proof · cited by 391
- Affine.Simplex.faceOppositeproof · cited by 103
- Affine.Simplex.altitudeFootstatement · cited by 23
- Affine.Simplex.faceOpposite_point_eq_point_revproof · cited by 4
- Affine.Simplex.orthogonalProjectionSpan_eq_pointproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Affine.Simplex.height_eq_distproof · cited by 0