Theorems · Definition · category theory
CategoryTheory.Comonad.CofreeEqualizer.topMap
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{T : CategoryTheory.Comonad C} → (X : T.Coalgebra) → T.cofree.obj X.A ⟶ T.cofree.obj (T.obj X.A)The top map in the equalizer diagram we will construct.
- Defined in
- Mathlib.CategoryTheory.Monad.Equalizer
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.Functor.mapproof · cited by 8,698
- CategoryTheory.Comonadstatement and proof · cited by 125
- CategoryTheory.Comonad.Coalgebrastatement and proof · cited by 114
- CategoryTheory.Comonad.toFunctorstatement · cited by 114
- CategoryTheory.Comonad.Coalgebra.Astatement · cited by 75
- CategoryTheory.Comonad.Coalgebra.aproof · cited by 48
- CategoryTheory.Comonad.cofreestatement and proof · cited by 18
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Comonad.beckCoalgebraForkstatement · cited by 2
- CategoryTheory.Comonad.CofreeEqualizer.topMap_fstatement and proof · cited by 0
- CategoryTheory.Comonad.beckCoalgebraFork_ptstatement · cited by 0
- CategoryTheory.Comonad.beckCoalgebraFork_π_appstatement · cited by 0
- CategoryTheory.Comonad.CofreeEqualizer.conditionstatement · cited by 0
- CategoryTheory.Comonad.beckCoalgebraEqualizerstatement and proof · cited by 0