Theorems · Definition · category theory
CategoryTheory.Discrete.eqToHom
{α : Type u₁} → {X Y : CategoryTheory.Discrete α} → X.as = Y.as → (X ⟶ Y)Promote an equation between the wrapped terms in X Y : Discrete α to a morphism X ⟶ Y
in the discrete category.
- Defined in
- Mathlib.CategoryTheory.Discrete.Basic
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Discretestatement and proof · cited by 2,447
- CategoryTheory.eqToHomproof · cited by 860
- CategoryTheory.Discrete.asstatement and proof · cited by 269
Cited by19
Results whose statement or proof uses this declaration.
- CategoryTheory.Comma.fromProdproof · cited by 7
- CategoryTheory.Discrete.eqToHom'proof · cited by 3
- CategoryTheory.Discrete.addMonoidalFunctor_μstatement · cited by 1
- CategoryTheory.Functor.initial_of_isCofiltered_pUnitproof · cited by 0
- CategoryTheory.Comma.fromProd_map_leftstatement · cited by 0
- CategoryTheory.Comma.fromProd_map_rightstatement · cited by 0
- CategoryTheory.Comma.fromProd_obj_homstatement · cited by 0
- CategoryTheory.ConnectedComponents.functorToDiscreteproof · cited by 0
- CategoryTheory.Discrete.addMonoidalFunctor_δstatement · cited by 0
- CategoryTheory.Discrete.addMonoidalFunctor_εstatement · cited by 0
- CategoryTheory.Discrete.addMonoidalFunctor_ηstatement · cited by 0
- CategoryTheory.Discrete.monoidalFunctor_δstatement · cited by 0