Theorems · Theorem · geometry

Affine.Simplex.faceOppositeCentroid_reindex

∀ {k : Type u_1} {V : Type u_2} {P : Type u_3} [inst : DivisionRing k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
  [inst_3 : AddTorsor V P] {m n : ℕ} [inst_4 : NeZero m] [inst_5 : NeZero n] (s : Affine.Simplex k P m)
  (e : Fin (m + 1) ≃ Fin (n + 1)), (s.reindex e).faceOppositeCentroid = s.faceOppositeCentroid ∘ ⇑e.symm

Defined in

Mathlib.LinearAlgebra.AffineSpace.Simplex.Centroid

Cited by

2 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingAddCommGroupModuleAddTorsorNeZeroNeZero