Theorems · Definition · geometry

AffineBasis.reindex

{ι : Type u_1} →
  {ι' : Type u_2} →
    {k : Type u_5} →
      {V : Type u_6} →
        {P : Type u_7} →
          [inst : AddCommGroup V] →
            [inst_1 : AddTorsor V P] →
              [inst_2 : Ring k] → [inst_3 : Module k V] → AffineBasis ι k P → ι ≃ ι' → AffineBasis ι' k P

Composition of an affine basis and an equivalence of index types.

Defined in

Mathlib.LinearAlgebra.AffineSpace.Basis

Cited by

7 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupAddTorsorRingModule