Theorems · Theorem · category theory
CategoryTheory.Triangulated.SpectralObject.Hom.ext
∀ {C : Type u_1} {ι : Type u_2} {inst : CategoryTheory.Category.{v_1, u_1} C}
{inst_1 : CategoryTheory.Category.{v_2, u_2} ι} {inst_2 : CategoryTheory.Limits.HasZeroObject C}
{inst_3 : CategoryTheory.HasShift C ℤ} {inst_4 : CategoryTheory.Preadditive C}
{inst_5 : ∀ (n : ℤ), (CategoryTheory.shiftFunctor C n).Additive} {inst_6 : CategoryTheory.Pretriangulated C}
{X Y : CategoryTheory.Triangulated.SpectralObject C ι} {x y : X.Hom Y}, x.hom = y.hom → x = y- Cited by
- 2 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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 and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.NatTrans.appproof · cited by 7,406
- 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
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Triangulated.SpectralObject.hom_extproof · cited by 1
- CategoryTheory.Triangulated.SpectralObject.Hom.ext_iffproof · cited by 0