preservesLimits_preadditiveYonedaObj

English

For any X in a preadditive category C, the functor preadditiveYonedaObj X preserves all small limits.

Русский

Для любого X в предадмитивной категории C деятельность preadditiveYonedaObj X сохраняет все малые пределы.

LaTeX

$$$\text{PreservesLimits}(\text{preadditiveYonedaObj } X)$$$

Lean4

instance preservesLimits_preadditiveYonedaObj (X : C) : PreservesLimits (preadditiveYonedaObj X) :=
  have : PreservesLimits (preadditiveYonedaObj X ⋙ forget _) := (inferInstance : PreservesLimits (yoneda.obj X))
  preservesLimits_of_reflects_of_preserves _ (forget _)

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