Theorems · Theorem · functional analysis

ContinuousMultilinearMap.toMultilinearMap_add

∀ {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]
  [inst_7 : ContinuousAdd M₂] (f g : ContinuousMultilinearMap R M₁ M₂),
  (f + g).toMultilinearMap = f.toMultilinearMap + g.toMultilinearMap

Defined in

Mathlib.Topology.Algebra.Module.Multilinear.Basic

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidAddCommMonoidModuleModuleTopologicalSpaceTopologicalSpaceContinuousAdd