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Mathlib.CategoryTheory.ConcreteCategory.ReflectsIso

A forget₂ C D forgetful functor between concrete categories C and D whose forgetful functors both reflect isomorphisms, itself reflects isomorphisms.

theorem CategoryTheory.reflectsIsomorphisms_forget₂ (C : Type (u + 1)) [Category.{u_1, u + 1} C] [HasForget C] (D : Type (u + 1)) [Category.{u_2, u + 1} D] [HasForget D] [HasForget₂ C D] [(forget C).ReflectsIsomorphisms] :
(forget₂ C D).ReflectsIsomorphisms

A forget₂ C D forgetful functor between concrete categories C and D where forget C reflects isomorphisms, itself reflects isomorphisms.