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category_theory.​adjunction.​fully_faithful

category_theory.​adjunction.​fully_faithful

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category_theory.​counit_is_iso_of_R_fully_faithful
category_theory.​unit_is_iso_of_L_fully_faithful
source
@[instance]
def category_theory.​unit_is_iso_of_L_fully_faithful {C : Type u₁} [category_theory.category C] {D : Type u₂} [category_theory.category D] {L : C ⥤ D} {R : D ⥤ C} (h : L ⊣ R) [category_theory.full L] [category_theory.faithful L] :
category_theory.is_iso h.unit

Equations
source
@[instance]
def category_theory.​counit_is_iso_of_R_fully_faithful {C : Type u₁} [category_theory.category C] {D : Type u₂} [category_theory.category D] {L : C ⥤ D} {R : D ⥤ C} (h : L ⊣ R) [category_theory.full R] [category_theory.faithful R] :
category_theory.is_iso h.counit

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