Theorems · Theorem · geometry

Affine.Simplex.setInterior_map

∀ {k : Type u_1} {V : Type u_2} {V₂ : Type u_3} {P : Type u_4} {P₂ : Type u_5} [inst : Ring k] [inst_1 : AddCommGroup V]
  [inst_2 : Module k V] [inst_3 : AddTorsor V P] [inst_4 : AddCommGroup V₂] [inst_5 : Module k V₂]
  [inst_6 : AddTorsor V₂ P₂] (I : Set k) {n : ℕ} (s : Affine.Simplex k P n) {f : P →ᵃ[k] P₂}
  (hf : Function.Injective ⇑f), Affine.Simplex.setInterior I (s.map f hf) = ⇑f '' Affine.Simplex.setInterior I s

Defined in

Mathlib.LinearAlgebra.AffineSpace.Simplex.Basic

Cited by

3 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsorAddCommGroupModuleAddTorsor