The concrete products in the category of modules are products in the categorical sense. #

def ModuleCat.productCone {R : Type u} [Ring R] {ι : Type v} (Z : ιModuleCatMax R) :

The product cone induced by the concrete product.

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    The concrete product cone is limiting.

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      noncomputable def ModuleCat.piIsoPi {R : Type u} [Ring R] {ι : Type v} (Z : ιModuleCatMax R) [CategoryTheory.Limits.HasProduct Z] :
      Z ModuleCat.of R ((i : ι) → ↑(Z i))

      The categorical product of a family of objects in ModuleCat agrees with the usual module-theoretical product.

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