Theorems · Theorem · geometry

Affine.Simplex.orthogonalProjectionSpan_faceOpposite_eq_point_rev

∀ {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 : Affine.Simplex 𝕜 P 1)
  (i : Fin 2) (p : P), ↑((s.faceOpposite i).orthogonalProjectionSpan p) = s.points i.rev

Defined in

Mathlib.Geometry.Euclidean.Projection

Cited by

1 results in Mathlib

Foundations

Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsor