Theorems · Theorem · geometry

Finset.centroid_singleton

∀ (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] {ι : Type u_4} (p : ι → P) (i : ι), Finset.centroid k {i} p = p i

The centroid of a single point.

Defined in

Mathlib.LinearAlgebra.AffineSpace.Centroid

Cited by

2 results in Mathlib

Foundations

Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingAddCommGroupModuleAddTorsor