Theorems · Theorem · category theory
CategoryTheory.Triangulated.TStructure.natTransTruncGEOfLE.congr_simp
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
[inst_2 : CategoryTheory.Limits.HasZeroObject C] [inst_3 : CategoryTheory.HasShift C ℤ]
[inst_4 : ∀ (n : ℤ), (CategoryTheory.shiftFunctor C n).Additive] [inst_5 : CategoryTheory.Pretriangulated C]
(t : CategoryTheory.Triangulated.TStructure C) (a b : ℤ) (h : a ≤ b),
t.natTransTruncGEOfLE a b h = t.natTransTruncGEOfLE a b h- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- 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.Pretriangulatedstatement and proof · cited by 669
- CategoryTheory.Triangulated.TStructurestatement and proof · cited by 318
- CategoryTheory.Triangulated.TStructure.truncGEstatement · cited by 85
- CategoryTheory.Triangulated.TStructure.natTransTruncGEOfLEstatement and proof · cited by 13
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