Theorems · Inductive type · geometry

AffineMap

(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] →
              [Module k V1] →
                [AddTorsor V1 P1] →
                  [inst_4 : AddCommGroup V2] →
                    [Module k V2] → [AddTorsor V2 P2] → Type (max (max (max u_2 u_3) u_4) u_5)

An AffineMap k P1 P2 (notation: P1 →ᵃ[k] P2) is a map from P1 to P2 that induces a corresponding linear map from V1 to V2.

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineMap

Cited by

674 results in Mathlib

Foundations

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

Assumes

RingAddCommGroupModuleAddTorsorAddCommGroupModuleAddTorsor