Theorems · Definition · geometry

affineSpan

(k : Type u_1) →
  {V : Type u_2} →
    {P : Type u_3} →
      [inst : Ring k] →
        [inst_1 : AddCommGroup V] → [inst_2 : Module k V] → [inst_3 : AddTorsor V P] → Set P → AffineSubspace k P

The affine span of a set of points is the smallest affine subspace containing those points. (Actually defined here in terms of spans in modules.)

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Defs

Cited by

417 results in Mathlib

Foundations

Depth 24 from the axioms, rests on 300 definitions · uses propext, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor