Theorems · Definition · geometry

Affine.Simplex.map

{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} →
                          Affine.Simplex k P n → (f : P →ᵃ[k] P₂) → Function.Injective ⇑f → Affine.Simplex k P₂ n

Push forward an affine simplex under an injective affine map.

Defined in

Mathlib.LinearAlgebra.AffineSpace.Simplex.Basic

Cited by

43 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupAddCommGroupModuleModuleAddTorsorAddTorsor