Theorems · Theorem · geometry

Affine.Simplex.faceOppositeCentroid_restrict

∀ {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] {n : ℕ} [inst_4 : NeZero n] [CharZero k] (s : Affine.Simplex k P n) (S : AffineSubspace k P)
  (hS : affineSpan k (Set.range s.points) ≤ S) {i : Fin (n + 1)},
  ↑((s.restrict S hS).faceOppositeCentroid i) = s.faceOppositeCentroid i

Defined in

Mathlib.LinearAlgebra.AffineSpace.Simplex.Centroid

Cited by

2 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingAddCommGroupModuleAddTorsorNeZeroCharZero