Theorems · Theorem · category theory
CategoryTheory.Functor.rightDerivedZeroIsoSelf_inv_hom_id_assoc
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} D]
[inst_2 : CategoryTheory.Abelian C] [inst_3 : CategoryTheory.HasInjectiveResolutions C]
[inst_4 : CategoryTheory.Abelian D] (F : CategoryTheory.Functor C D) [inst_5 : F.Additive]
[inst_6 : CategoryTheory.Limits.PreservesFiniteLimits F] {Z : CategoryTheory.Functor C D} (h : F ⟶ Z),
CategoryTheory.CategoryStruct.comp F.toRightDerivedZero
(CategoryTheory.CategoryStruct.comp F.rightDerivedZeroIsoSelf.hom h) =
h- Cited by
- 0 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- CategoryTheory.Functor.Additivestatement and proof · cited by 1,179
- CategoryTheory.Limits.PreservesFiniteLimitsstatement and proof · cited by 121
- CategoryTheory.HasInjectiveResolutionsstatement and proof · cited by 34
- CategoryTheory.Functor.rightDerivedstatement · cited by 21
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