Theorems · Theorem · category theory
CategoryTheory.Limits.cokernelIsoOfEq_refl
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] {X Y : C}
(f : X ⟶ Y) [inst_2 : CategoryTheory.Limits.HasCokernel f] {h : f = f},
CategoryTheory.Limits.cokernelIsoOfEq h = CategoryTheory.Iso.refl (CategoryTheory.Limits.cokernel f)- Cited by
- 5 results in Mathlib
- Foundations
- Depth 39 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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.Limits.parallelPairproof · cited by 766
- CategoryTheory.Iso.reflstatement and proof · cited by 727
- CategoryTheory.Limits.cokernelstatement · cited by 229
- CategoryTheory.Limits.cokernel.πproof · cited by 194
- CategoryTheory.Iso.extproof · cited by 166
- CategoryTheory.Limits.HasCokernelstatement and proof · cited by 131
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.cokernelIsoOfEq_hom_comp_descproof · cited by 1
- CategoryTheory.Limits.π_comp_cokernelIsoOfEq_homproof · cited by 1
- CategoryTheory.Limits.cokernelIsoOfEq_inv_comp_descproof · cited by 1
- CategoryTheory.Limits.π_comp_cokernelIsoOfEq_invproof · cited by 1
- CategoryTheory.Limits.cokernelIsoOfEq_transproof · cited by 0