Theorems · Definition · geometry

AffineMap.lineMap

{k : Type u_1} →
  {V1 : Type u_2} →
    {P1 : Type u_3} →
      [inst : Ring k] →
        [inst_1 : AddCommGroup V1] → [inst_2 : Module k V1] → [inst_3 : AddTorsor V1 P1] → P1 → P1 → k →ᵃ[k] P1

The affine map from k to P1 sending 0 to p₀ and 1 to p₁.

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineMap

Cited by

254 results in Mathlib

Foundations

Depth 44 from the axioms, rests on 682 definitions · uses propext, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor