Theorems · Theorem · geometry

Affine.Simplex.mongePlane_reindex

∀ {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] {m n : ℕ} (s : Affine.Simplex ℝ P (n + 2)) (e : Fin (n + 3) ≃ Fin (m + 3))
  (i₁ i₂ : Fin (m + 3)), (s.reindex e).mongePlane i₁ i₂ = s.mongePlane (e.symm i₁) (e.symm i₂)

Defined in

Mathlib.Geometry.Euclidean.MongePoint

Cited by

0 results in Mathlib

Foundations

Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsor