Theorems · Theorem · functional analysis

ContinuousMultilinearMap.domDomCongr_apply

∀ {R : Type u} {ι : Type v} {M₂ : Type w₂} {M₃ : Type w₃} [inst : Semiring R] [inst_1 : AddCommMonoid M₂]
  [inst_2 : AddCommMonoid M₃] [inst_3 : Module R M₂] [inst_4 : Module R M₃] [inst_5 : TopologicalSpace M₂]
  [inst_6 : TopologicalSpace M₃] {ι' : Type u_1} (e : ι ≃ ι') (f : ContinuousMultilinearMap R (fun x => M₂) M₃)
  (v : ι' → M₂), (ContinuousMultilinearMap.domDomCongr e f) v = f fun i => v (e i)

Defined in

Mathlib.Topology.Algebra.Module.Multilinear.Basic

Cited by

5 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidAddCommMonoidModuleModuleTopologicalSpaceTopologicalSpace