Theorems · Definition · functional analysis

ContinuousMultilinearMap.toMultilinearMap

{R : Type u} →
  {ι : Type v} →
    {M₁ : ι → Type w₁} →
      {M₂ : Type w₂} →
        [inst : Semiring R] →
          [inst_1 : (i : ι) → AddCommMonoid (M₁ i)] →
            [inst_2 : AddCommMonoid M₂] →
              [inst_3 : (i : ι) → Module R (M₁ i)] →
                [inst_4 : Module R M₂] →
                  [inst_5 : (i : ι) → TopologicalSpace (M₁ i)] →
                    [inst_6 : TopologicalSpace M₂] → ContinuousMultilinearMap R M₁ M₂ → MultilinearMap R M₁ M₂

Defined in

Mathlib.Topology.Algebra.Module.Multilinear.Basic

Cited by

70 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

SemiringAddCommMonoidAddCommMonoidModuleModuleTopologicalSpaceTopologicalSpace