Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.monotone_extensionProductIter
∀ {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 Q : CategoryTheory.ObjectProperty C}, P ≤ Q → ∀ (n : ℕ), P.extensionProductIter n ≤ Q.extensionProductIter n- Cited by
- 2 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- le_reflproof · cited by 2,061
- 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
- le_imp_le_of_le_of_leproof · cited by 576
- CategoryTheory.ObjectProperty.extensionProductproof · cited by 24
- CategoryTheory.ObjectProperty.extensionProductIterstatement and proof · cited by 20
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.monotone_triangEnvelopeIterproof · cited by 1