Theorems · Theorem · geometry

AffineSubspace.map_pointwise_vadd

∀ {k : Type u_2} {V₁ : Type u_5} {P₁ : Type u_6} {V₂ : Type u_7} {P₂ : Type u_8} [inst : Ring k]
  [inst_1 : AddCommGroup V₁] [inst_2 : Module k V₁] [inst_3 : AddTorsor V₁ P₁] [inst_4 : AddCommGroup V₂]
  [inst_5 : Module k V₂] [inst_6 : AddTorsor V₂ P₂] (f : P₁ →ᵃ[k] P₂) (v : V₁) (s : AffineSubspace k P₁),
  AffineSubspace.map f (v +ᵥ s) = f.linear v +ᵥ AffineSubspace.map f s

Defined in

Mathlib.LinearAlgebra.AffineSpace.Pointwise

Cited by

0 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsorAddCommGroupModuleAddTorsor