Theorems · Theorem · geometry

Affine.Simplex.map_points

∀ {k : Type u_1} {V : Type u_2} {V₂ : Type u_3} {P : Type u_5} {P₂ : Type u_6} [inst : Ring k] [inst_1 : AddCommGroup V]
  [inst_2 : AddCommGroup V₂] [inst_3 : Module k V] [inst_4 : Module k V₂] [inst_5 : AddTorsor V P]
  [inst_6 : AddTorsor V₂ P₂] {n : ℕ} (s : Affine.Simplex k P n) (f : P →ᵃ[k] P₂) (hf : Function.Injective ⇑f),
  (s.map f hf).points = ⇑f ∘ s.points

Defined in

Mathlib.LinearAlgebra.AffineSpace.Simplex.Basic

Cited by

15 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupAddCommGroupModuleModuleAddTorsorAddTorsor