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Theorems · Definition · category theory

CategoryTheory.Idempotents.fullyFaithfulToKaroubi

(C : Type u_1) → [inst : CategoryTheory.Category.{v_1, u_1} C] → (CategoryTheory.Idempotents.toKaroubi C).FullyFaithful

The functor toKaroubi C : C ⥤ Karoubi C is fully faithful.

Defined in
Mathlib.CategoryTheory.Idempotents.Karoubi
Cited by
3 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
CategoryTheory.Category
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Around this declaration

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CategoryTheory.SimplicialObject.Splitting.toNondegComplex · cited by 9Splitting.toNondegComplexCategoryTheory.SimplicialObject.Splitting.fromNondegComplex · cited by 7Splitting.fromNondegCompl…CategoryTheory.SimplicialObject.Splitting.fromNondegComplex_toNondegComplex · cited by 2Splitting.fromNondegCompl…CategoryTheory.SimplicialObject.Splitting.toNondegComplex_fromNondegComplex · cited by 2Splitting.toNondegComplex…CategoryTheory.SimplicialObject.Splitting.PInfty_toNondegComplex · cited by 2Splitting.PInfty_toNondeg…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Idempotents.Karoubi · cited by 233Idempotents.KaroubiCategoryTheory.Idempotents.Karoubi.Hom.f · cited by 121Hom.fCategoryTheory.Functor.FullyFaithful · cited by 87Functor.FullyFaithfulCategoryTheory.Idempotents.toKaroubi · cited by 69Idempotents.toKaroubiIdempotents.fullyFaithfulToKa…CITED BYCITES

Cites7

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Cited by5

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