Theorems · Definition · linear algebra

AlternatingMap.toMultilinearMap

{R : Type u_1} →
  [inst : Semiring R] →
    {M : Type u_2} →
      [inst_1 : AddCommMonoid M] →
        [inst_2 : Module R M] →
          {N : Type u_3} →
            [inst_3 : AddCommMonoid N] →
              [inst_4 : Module R N] → {ι : Type u_7} → M [⋀^ι]→ₗ[R] N → MultilinearMap R (fun x => M) N

The multilinear map associated to an alternating map

Defined in

Mathlib.LinearAlgebra.Alternating.Basic

Cited by

53 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

SemiringAddCommMonoidModuleAddCommMonoidModule