Theorems · Theorem · geometry

Affine.Simplex.orthogonalProjectionSpan_reindex

∀ {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] {m n : ℕ}
  (s : Affine.Simplex 𝕜 P m) (e : Fin (m + 1) ≃ Fin (n + 1)) (p : P),
  ↑((s.reindex e).orthogonalProjectionSpan p) = ↑(s.orthogonalProjectionSpan p)

Defined in

Mathlib.Geometry.Euclidean.Projection

Cited by

0 results in Mathlib

Foundations

Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsor