Theorems · Theorem · geometry

AffineEquiv.injective_pointReflection_left_of_injective_two_nsmul

∀ (k : Type u_1) {P₁ : Type u_2} {V₁ : Type u_6} [inst : Ring k] [inst_1 : AddCommGroup V₁] [inst_2 : Module k V₁]
  [inst_3 : AddTorsor V₁ P₁],
  (Function.Injective fun x => 2 • x) → ∀ (y : P₁), Function.Injective fun x => (AffineEquiv.pointReflection k x) y

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineEquiv

Cited by

1 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor