Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.extensionProductIter_zero
∀ {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]
(P : CategoryTheory.ObjectProperty C), P.extensionProductIter 0 = P- Cited by
- 5 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- 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 and proof · cited by 798
- CategoryTheory.Pretriangulatedstatement and proof · cited by 669
- CategoryTheory.ObjectProperty.extensionProductIterstatement · cited by 20
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.triangEnvelopeIter_zeroproof · cited by 1
- CategoryTheory.ObjectProperty.extensionProductIter_addproof · cited by 1
- CategoryTheory.ObjectProperty.extensionProductIter_add'proof · cited by 1
- CategoryTheory.ObjectProperty.extensionProductIter_botproof · cited by 1