Theorems · Definition · functional analysis

ContinuousAlternatingMap.toContinuousMultilinearMap

{R : Type u_1} →
  {M : Type u_2} →
    {N : Type u_3} →
      {ι : Type u_4} →
        [inst : Semiring R] →
          [inst_1 : AddCommMonoid M] →
            [inst_2 : Module R M] →
              [inst_3 : TopologicalSpace M] →
                [inst_4 : AddCommMonoid N] →
                  [inst_5 : Module R N] →
                    [inst_6 : TopologicalSpace N] → M [⋀^ι]→L[R] N → ContinuousMultilinearMap R (fun x => M) N

Projection to ContinuousMultilinearMaps.

Defined in

Mathlib.Topology.Algebra.Module.Alternating.Basic

Cited by

72 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

SemiringAddCommMonoidModuleTopologicalSpaceAddCommMonoidModuleTopologicalSpace