Theorems · Definition · geometry

Affine.Simplex.faceOpposite

{k : Type u_1} →
  {V : Type u_2} →
    {P : Type u_5} →
      [inst : Ring k] →
        [inst_1 : AddCommGroup V] →
          [inst_2 : Module k V] →
            [inst_3 : AddTorsor V P] →
              {n : ℕ} → [NeZero n] → Affine.Simplex k P n → Fin (n + 1) → Affine.Simplex k P (n - 1)

The face of a simplex with all but one point.

Defined in

Mathlib.LinearAlgebra.AffineSpace.Simplex.Basic

Cited by

103 results in Mathlib

Foundations

Depth 74 from the axioms, rests on 2,099 definitions · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsorNeZero