Theorems · Definition · geometry

AffineMap.homothety

{k : Type u_2} →
  {V1 : Type u_3} →
    {P1 : Type u_4} →
      [inst : CommRing k] →
        [inst_1 : AddCommGroup V1] → [inst_2 : AddTorsor V1 P1] → [inst_3 : Module k V1] → P1 → k → P1 →ᵃ[k] P1

homothety c r is the homothety (also known as dilation) about c with scale factor r.

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineMap

Cited by

51 results in Mathlib

Foundations

Depth 44 from the axioms · uses propext, Quot.sound

Assumes

CommRingAddCommGroupAddTorsorModule