Theorems · Definition · geometry

Affine.Simplex.setInterior

{k : Type u_1} →
  {V : Type u_2} →
    {P : Type u_4} →
      [inst : Ring k] →
        [inst_1 : AddCommGroup V] →
          [inst_2 : Module k V] → [inst_3 : AddTorsor V P] → Set k → {n : ℕ} → Affine.Simplex k P n → Set P

The interior of a simplex is the set of points that can be expressed as an affine combination of the vertices with weights in a set I.

Defined in

Mathlib.LinearAlgebra.AffineSpace.Simplex.Basic

Cited by

7 results in Mathlib

Foundations

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

Assumes

RingAddCommGroupModuleAddTorsor