of_MonoidalPreadditive_with_binary_coproducts

English

A preadditive monoidal category with binary biproducts is distributive: the tensor product distributes over biproducts with additive structure.

Русский

Придатная к сложению моноидальная категория с бинарными би-произведениями распределяет тензор над би-произведениями с аддитивной структурой.

LaTeX

$$$[Preadditive C]\\;\\&\\;[MonoidalPreadditive C] \\Rightarrow IsMonoidalDistrib C$$$

Lean4

/-- A preadditive monoidal category with binary biproducts is distributive. -/
instance of_MonoidalPreadditive_with_binary_coproducts [Preadditive C] [MonoidalPreadditive C] : IsMonoidalDistrib C
    where

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