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Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.shift_zero

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
  (K L : CochainComplex C ℤ) (n a : ℤ), CochainComplex.HomComplex.Cochain.shift 0 a = 0
Defined in
Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift
Cited by
1 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Preadditive
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CochainComplex.HomComplex.Cochain.δ_shift · cited by 0Cochain.δ_shiftCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Preadditive · cited by 3309CategoryTheory.Preadditivemap_zero · cited by 1614map_zeroCategoryTheory.shiftFunctor · cited by 1553CategoryTheory.shiftFunct…ComplexShape.up · cited by 1123ComplexShape.upCochainComplex · cited by 1016CochainComplexCochainComplex.HomComplex.Cochain · cited by 341HomComplex.CochainCochainComplex.HomComplex.Cochain.shift · cited by 14Cochain.shiftCochainComplex.HomComplex.Cochain.shiftAddHom · cited by 3Cochain.shiftAddHomCochain.shift_zeroCITED BYCITES

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