Theorems · Definition · category theory
CategoryTheory.Endofunctor.Coalgebra.str
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{F : CategoryTheory.Functor C C} → (self : CategoryTheory.Endofunctor.Coalgebra F) → self.V ⟶ F.obj self.Vstructure morphism of the coalgebra
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Endofunctor.Coalgebrastatement and proof · cited by 70
- CategoryTheory.Endofunctor.Coalgebra.Vstatement · cited by 52
Cited by33
Results whose statement or proof uses this declaration.
- CategoryTheory.Endofunctor.Coalgebra.functorOfNatTransproof · cited by 14
- CategoryTheory.Endofunctor.Adjunction.Coalgebra.toAlgebraOfproof · cited by 11
- CategoryTheory.Endofunctor.Coalgebra.Hom.hstatement · cited by 4
- CategoryTheory.Endofunctor.Coalgebra.Terminal.strInvproof · cited by 4
- CategoryTheory.Endofunctor.Coalgebra.isoMkstatement and proof · cited by 3
- CategoryTheory.Endofunctor.Coalgebra.Hom.extproof · cited by 2
- CategoryTheory.Endofunctor.Coalgebra.Terminal.right_invstatement · cited by 2
- CategoryTheory.Endofunctor.Coalgebra.Terminal.left_invstatement and proof · cited by 1
- CategoryTheory.Endofunctor.Coalgebra.Terminal.right_inv'statement and proof · cited by 1
- CategoryTheory.Endofunctor.Coalgebra.Hom.mk.injstatement and proof · cited by 1
- CategoryTheory.Endofunctor.Coalgebra.Hom.mk.noConfusionstatement and proof · cited by 1
- CategoryTheory.Endofunctor.Coalgebra.isoMk_hom_fstatement and proof · cited by 0