Theorems · Theorem · category theory
HomotopyCategory.Pretriangulated.distinguished_cocone_triangle
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
[inst_2 : CategoryTheory.Limits.HasBinaryBiproducts C] {X Y : HomotopyCategory C (ComplexShape.up ℤ)} (f : X ⟶ Y),
∃ Z g h, CategoryTheory.Pretriangulated.Triangle.mk f g h ∈ HomotopyCategory.Pretriangulated.distinguishedTriangles C- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites26
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- CategoryTheory.CategoryStruct.compproof · cited by 17,999
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- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.shiftFunctorstatement · cited by 1,553
- ComplexShape.upstatement and proof · cited by 1,123
- CategoryTheory.Iso.reflproof · cited by 727
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