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Theorems · Theorem · category theory

CategoryTheory.Functor.Faithful.of_comp_iso

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {E : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} E] {F : CategoryTheory.Functor C D}
  {G : CategoryTheory.Functor D E} {H : CategoryTheory.Functor C E} [H.Faithful] (h : F.comp G ≅ H), F.Faithful
Defined in
Mathlib.CategoryTheory.Functor.FullyFaithful
Cited by
1 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.Faithful
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Iso.faithful_of_comp · cited by 0Iso.faithful_of_compCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.comp · cited by 6529Functor.compCategoryTheory.Iso · cited by 3963CategoryTheory.IsoCategoryTheory.Functor.Faithful · cited by 313Functor.FaithfulCategoryTheory.Functor.Faithful.of_comp · cited by 6Faithful.of_compFaithful.of_comp_isoCITED BYCITES

Cites6

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Cited by1

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