Theorems · Definition · linear algebra

MultilinearMap.domDomCongrEquiv

{R : Type uR} →
  {M₂ : Type v₂} →
    {M₃ : Type v₃} →
      [inst : Semiring R] →
        [inst_1 : AddCommMonoid M₂] →
          [inst_2 : AddCommMonoid M₃] →
            [inst_3 : Module R M₂] →
              [inst_4 : Module R M₃] →
                {ι₁ : Type u_1} →
                  {ι₂ : Type u_2} → ι₁ ≃ ι₂ → MultilinearMap R (fun x => M₂) M₃ ≃+ MultilinearMap R (fun x => M₂) M₃

MultilinearMap.domDomCongr as an equivalence. This is declared separately because it does not work with dot notation.

Defined in

Mathlib.LinearAlgebra.Multilinear.Basic

Cited by

6 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidAddCommMonoidModuleModule