Theorems · Theorem · category theory

CochainComplex.HomComplex.Cocycle.rightShift.congr_simp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
  {K L : CochainComplex C ℤ} {n : ℤ} (γ γ_1 : CochainComplex.HomComplex.Cocycle K L n),
  γ = γ_1 → ∀ (a n' : ℤ) (hn' : n' + a = n), γ.rightShift a n' hn' = γ_1.rightShift a n' hn'

Defined in: Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift
Cited by: 0 results in Mathlib
Foundations: Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Preadditive

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement · cited by 19,642
CategoryTheory.Preadditivestatement and proof · cited by 3,309
CategoryTheory.shiftFunctorstatement · cited by 1,553
ComplexShape.upstatement · cited by 1,123
CochainComplexstatement and proof · cited by 1,016
CochainComplex.HomComplex.Cocyclestatement and proof · cited by 130
CochainComplex.HomComplex.Cocycle.rightShiftstatement and proof · cited by 7

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