Theorems · Inductive type · category theory
CategoryTheory.IsComonHom
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
{M N : C} → [CategoryTheory.ComonObj M] → [CategoryTheory.ComonObj N] → (M ⟶ N) → PropThe property that a morphism between comonoid objects is a comonoid morphism.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Comon_
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
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.
- CategoryTheory.Categorystatement · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.MonoidalCategorystatement · cited by 3,095
- CategoryTheory.ComonObjstatement · cited by 48
Cited by24
Results whose statement or proof uses this declaration.
- CategoryTheory.IsComonHom.hom_comulstatement and proof · cited by 4
- CategoryTheory.IsComonHom.hom_counitstatement and proof · cited by 4
- CategoryTheory.Deterministicproof · cited by 4
- CategoryTheory.Comon.Hom.extproof · cited by 4
- CategoryTheory.Comon.mkIsoproof · cited by 2
- CategoryTheory.Comon.mkIso'statement and proof · cited by 2
- CategoryTheory.Comon.Hom.mk.injstatement and proof · cited by 1
- CategoryTheory.Comon.Hom.mk.noConfusionstatement and proof · cited by 1
- CategoryTheory.Comon.Hom.mk'proof · cited by 1
- CategoryTheory.IsComonHom.casesOnstatement and proof · cited by 0
- CategoryTheory.IsComonHom.hom_comul_assocstatement and proof · cited by 0
- CategoryTheory.IsComonHom.hom_counit_assocstatement and proof · cited by 0