Theorems · Theorem · category theory

CategoryTheory.Functor.leftDerivedZeroIsoSelf.congr_simp

∀ {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.HasProjectiveResolutions C]
  [inst_4 : CategoryTheory.Abelian D] (F : CategoryTheory.Functor C D) [inst_5 : F.Additive]
  [inst_6 : CategoryTheory.Limits.PreservesFiniteColimits F], F.leftDerivedZeroIsoSelf = F.leftDerivedZeroIsoSelf

Defined in: Mathlib.CategoryTheory.Abelian.LeftDerived
Cited by: 0 results in Mathlib
Foundations: Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Abelian CategoryTheory.HasProjectiveResolutions CategoryTheory.Abelian CategoryTheory.Functor.Additive CategoryTheory.Limits.PreservesFiniteColimits

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.Isostatement · cited by 3,963
CategoryTheory.Abelianstatement and proof · cited by 1,753
CategoryTheory.Functor.Additivestatement and proof · cited by 1,179
CategoryTheory.Limits.PreservesFiniteColimitsstatement and proof · cited by 102
CategoryTheory.HasProjectiveResolutionsstatement and proof · cited by 42
CategoryTheory.Functor.leftDerivedstatement · cited by 29
CategoryTheory.Functor.leftDerivedZeroIsoSelfstatement and proof · cited by 10

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