Theorems · Theorem · category theory

CategoryTheory.Functor.mapCochainComplexPlus_obj_obj_X

∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] (F : CategoryTheory.Functor C D)
  [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] [inst_3 : CategoryTheory.Limits.HasZeroMorphisms D]
  [inst_4 : F.PreservesZeroMorphisms] (X : CochainComplex.Plus C) (i : ℤ),
  (F.mapCochainComplexPlus.obj X).obj.X i = F.obj (X.obj.X i)

Defined in: Mathlib.Algebra.Homology.CochainComplexPlus
Cited by: 0 results in Mathlib
Foundations: Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Limits.HasZeroMorphisms CategoryTheory.Limits.HasZeroMorphisms CategoryTheory.Functor.PreservesZeroMorphisms

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement and proof · cited by 19,642
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
HomologicalComplex.Xstatement and proof · cited by 1,839
CategoryTheory.ObjectProperty.FullSubcategory.objstatement and proof · cited by 1,316
ComplexShape.upstatement · cited by 1,123
CochainComplexstatement · cited by 1,016
CategoryTheory.Functor.PreservesZeroMorphismsstatement and proof · cited by 458
CochainComplex.plusstatement · cited by 24
CochainComplex.Plusstatement and proof · cited by 20
CategoryTheory.Functor.mapCochainComplexPlusstatement and proof · cited by 11

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