Theorems · Inductive type · geometry

AffineSubspace

(k : Type u_1) →
  {V : Type u_2} →
    (P : Type u_3) → [inst : Ring k] → [inst_1 : AddCommGroup V] → [Module k V] → [AddTorsor V P] → Type u_3

An AffineSubspace k P is a subset of an AffineSpace V P that, if not empty, has an affine space structure induced by a corresponding subspace of the Module k V.

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Defs

Cited by

871 results in Mathlib

Foundations

Depth 6 from the axioms, rests on 25 definitions · uses no axioms

Assumes

RingAddCommGroupModuleAddTorsor