preservesFiniteLimits_of_natIso — Mathlib

English

Preserve finite limits along a natural isomorphism between functors.

Русский

Сохраняются конечные пределы вдоль естественного изоморфизма между функтами.

LaTeX

$$preservesFiniteLimits_of_natIso(h)$$

Lean4

/-- Transfer preservation of finite limits along a natural isomorphism in the functor. -/
theorem preservesFiniteLimits_of_natIso {F G : C ⥤ D} (h : F ≅ G) [PreservesFiniteLimits F] : PreservesFiniteLimits G
    where preservesFiniteLimits _ _ _ := preservesLimitsOfShape_of_natIso h

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