Theorems · Theorem · functional analysis

ContinuousMultilinearMap.mkPiAlgebra_apply

∀ (R : Type u) (ι : Type v) (A : Type u_1) [inst : Fintype ι] [inst_1 : CommSemiring R] [inst_2 : CommSemiring A]
  [inst_3 : Algebra R A] [inst_4 : TopologicalSpace A] [inst_5 : ContinuousMul A] (m : ι → A),
  (ContinuousMultilinearMap.mkPiAlgebra R ι A) m = ∏ i, m i

Defined in

Mathlib.Topology.Algebra.Module.Multilinear.Basic

Cited by

0 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeCommSemiringCommSemiringAlgebraTopologicalSpaceContinuousMul