Theorems · Inductive type · category theory
CategoryTheory.Endofunctor.Coalgebra
{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.Functor C C → Type (max u v)A coalgebra of an endofunctor; str stands for "structure morphism"
- Cited by
- 70 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
Cited by101
Results whose statement or proof uses this declaration.
- CategoryTheory.Endofunctor.Coalgebra.Vstatement and proof · cited by 52
- CategoryTheory.Endofunctor.Coalgebra.Hom.fstatement and proof · cited by 38
- CategoryTheory.Endofunctor.Coalgebra.strstatement and proof · cited by 24
- CategoryTheory.Endofunctor.Coalgebra.functorOfNatTransstatement and proof · cited by 14
- CategoryTheory.Endofunctor.Adjunction.Algebra.toCoalgebraOfstatement · cited by 11
- CategoryTheory.Endofunctor.Adjunction.Coalgebra.toAlgebraOfstatement and proof · cited by 11
- CategoryTheory.Endofunctor.Adjunction.algebraCoalgebraEquivstatement · cited by 10
- CategoryTheory.Endofunctor.Coalgebra.Homstatement · cited by 10
- CategoryTheory.Endofunctor.Coalgebra.functorOfNatTransEqstatement and proof · cited by 5
- CategoryTheory.Endofunctor.Coalgebra.Hom.hstatement and proof · cited by 4
- CategoryTheory.Endofunctor.Coalgebra.Terminal.strInvstatement and proof · cited by 4
- CategoryTheory.Endofunctor.Coalgebra.equivOfNatIsostatement · cited by 4