Theorems · Definition · geometry

AffineMap.toFun

{k : Type u_1} →
  {V1 : Type u_2} →
    {P1 : Type u_3} →
      {V2 : Type u_4} →
        {P2 : Type u_5} →
          [inst : Ring k] →
            [inst_1 : AddCommGroup V1] →
              [inst_2 : Module k V1] →
                [inst_3 : AddTorsor V1 P1] →
                  [inst_4 : AddCommGroup V2] →
                    [inst_5 : Module k V2] → [inst_6 : AddTorsor V2 P2] → (P1 →ᵃ[k] P2) → P1 → P2

The underlying function between the affine spaces P1 and P2.

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineMap

Cited by

15 results in Mathlib

Foundations

Depth 7 from the axioms · uses no axioms

Assumes

RingAddCommGroupModuleAddTorsorAddCommGroupModuleAddTorsor