Theorems · Theorem · geometry

Affine.Simplex.range_faceOpposite_points

∀ {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} [inst_4 : NeZero n] (s : Affine.Simplex k P n) (i : Fin (n + 1)),
  Set.range (s.faceOpposite i).points = s.points '' {i}ᶜ

Defined in

Mathlib.LinearAlgebra.AffineSpace.Simplex.Basic

Cited by

30 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsorNeZero