Theorems · Definition · functional analysis

ContinuousAlternatingMap.piEquiv

{R : Type u_1} →
  {M : Type u_2} →
    {ι : Type u_6} →
      [inst : Semiring R] →
        [inst_1 : AddCommMonoid M] →
          [inst_2 : Module R M] →
            [inst_3 : TopologicalSpace M] →
              {ι' : Type u_7} →
                {N : ι' → Type u_8} →
                  [inst_4 : (i : ι') → AddCommMonoid (N i)] →
                    [inst_5 : (i : ι') → TopologicalSpace (N i)] →
                      [inst_6 : (i : ι') → Module R (N i)] →
                        ((i : ι') → M [⋀^ι]→L[R] N i) ≃ M [⋀^ι]→L[R] ((i : ι') → N i)

ContinuousAlternatingMap.pi as an Equiv.

Defined in

Mathlib.Topology.Algebra.Module.Alternating.Basic

Cited by

2 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModuleTopologicalSpaceAddCommMonoidTopologicalSpaceModule