Theorems · Theorem · geometry

Affine.Simplex.setInterior_restrict

∀ {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] (I : Set k) {n : ℕ} (s : Affine.Simplex k P n) {S : AffineSubspace k P}
  (hS : affineSpan k (Set.range s.points) ≤ S),
  Affine.Simplex.setInterior I (s.restrict S hS) = ⇑S.subtype ⁻¹' Affine.Simplex.setInterior I s

Defined in

Mathlib.LinearAlgebra.AffineSpace.Simplex.Basic

Cited by

2 results in Mathlib

Foundations

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

Assumes

RingAddCommGroupModuleAddTorsor