Theorems · Theorem · functional analysis

ContinuousMultilinearMap.piEquiv_apply

∀ {R : Type u} {ι : Type v} {M₁ : ι → Type w₁} [inst : Semiring R] [inst_1 : (i : ι) → AddCommMonoid (M₁ i)]
  [inst_2 : (i : ι) → Module R (M₁ i)] [inst_3 : (i : ι) → TopologicalSpace (M₁ i)] {ι' : Type u_1} {M' : ι' → Type u_2}
  [inst_4 : (i : ι') → AddCommMonoid (M' i)] [inst_5 : (i : ι') → TopologicalSpace (M' i)]
  [inst_6 : (i : ι') → Module R (M' i)] (f : (i : ι') → ContinuousMultilinearMap R M₁ (M' i)),
  ContinuousMultilinearMap.piEquiv f = ContinuousMultilinearMap.pi f

Defined in

Mathlib.Topology.Algebra.Module.Multilinear.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

SemiringAddCommMonoidModuleTopologicalSpaceAddCommMonoidTopologicalSpaceModule