Theorems · Theorem · category theory

CategoryTheory.Pretriangulated.Triangle.shiftFunctorZero_eq

∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
  [inst_2 : CategoryTheory.HasShift C ℤ] [inst_3 : ∀ (n : ℤ), (CategoryTheory.shiftFunctor C n).Additive],
  CategoryTheory.shiftFunctorZero (CategoryTheory.Pretriangulated.Triangle C) ℤ =
    CategoryTheory.Pretriangulated.Triangle.shiftFunctorZero C

Defined in: Mathlib.CategoryTheory.Triangulated.TriangleShift
Cited by: 0 results in Mathlib
Foundations: Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Preadditive CategoryTheory.HasShift CategoryTheory.Functor.Additive

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement · cited by 16,252
CategoryTheory.Isostatement · cited by 3,963
CategoryTheory.Functor.idstatement · cited by 3,333
CategoryTheory.Preadditivestatement and proof · cited by 3,309
CategoryTheory.shiftFunctorstatement and proof · cited by 1,553
CategoryTheory.HasShiftstatement and proof · cited by 1,527
CategoryTheory.Functor.Additivestatement and proof · cited by 1,179
CategoryTheory.Pretriangulated.Trianglestatement and proof · cited by 645
CategoryTheory.shiftFunctorZerostatement · cited by 82
CategoryTheory.Pretriangulated.Triangle.shiftFunctorproof · cited by 31
CategoryTheory.Pretriangulated.Triangle.shiftFunctorAdd'proof · cited by 11

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