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mathoverflow_31809

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Does there exist a category that is pretriangulated but not triangulated?

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Lean 4 Statement
theorem mathoverflow_31809 : answer(sorry) ↔ (∀ (C : Type*) [Category C] [Preadditive C]
    [HasZeroObject C] [HasShift C ℤ] [∀ (n : ℤ), (shiftFunctor C n).Additive]
    [Pretriangulated C], IsTriangulated C)
ID: Mathoverflow__31809__mathoverflow_31809
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