Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.extensionProductIter_top

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroObject C]
  [inst_2 : CategoryTheory.HasShift C ℤ] [inst_3 : CategoryTheory.Preadditive C]
  [inst_4 : ∀ (n : ℤ), (CategoryTheory.shiftFunctor C n).Additive] [inst_5 : CategoryTheory.Pretriangulated C] (n : ℕ),
  ⊤.extensionProductIter n = ⊤

Defined in: Mathlib.CategoryTheory.Triangulated.Subcategory
Cited by: 0 results in Mathlib
Foundations: Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasZeroObject CategoryTheory.HasShift CategoryTheory.Preadditive CategoryTheory.Functor.Additive CategoryTheory.Pretriangulated

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CategoryTheory.Categorystatement and proof · cited by 32,673
Top.topstatement and proof · cited by 9,680
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.Limits.HasZeroObjectstatement and proof · cited by 1,298
CategoryTheory.Functor.Additivestatement and proof · cited by 1,179
CategoryTheory.ObjectPropertystatement · cited by 798
CategoryTheory.Pretriangulatedstatement and proof · cited by 669
eq_top_iffproof · cited by 236
CategoryTheory.ObjectProperty.extensionProductIterstatement · cited by 20
CategoryTheory.ObjectProperty.le_extensionProductIterproof · cited by 1

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