Theorems · Definition · category theory
CategoryTheory.Center.Hom.f
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] → {X Y : CategoryTheory.Center C} → X.Hom Y → (X.fst ⟶ Y.fst)The underlying morphism between the first components of the objects involved
- Defined in
- Mathlib.CategoryTheory.Monoidal.Center
- Cited by
- 33 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
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.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.HalfBraidingstatement · cited by 62
- CategoryTheory.Centerstatement and proof · cited by 58
- CategoryTheory.Center.Homstatement and proof · cited by 8
Cited by38
Results whose statement or proof uses this declaration.
- CategoryTheory.Center.forgetproof · cited by 6
- CategoryTheory.Center.Hom.commstatement · cited by 3
- CategoryTheory.Center.comp_fstatement · cited by 3
- CategoryTheory.Center.isoMkstatement and proof · cited by 3
- CategoryTheory.Center.Hom.extstatement and proof · cited by 1
- CategoryTheory.Center.associator_hom_fstatement · cited by 1
- CategoryTheory.Center.extstatement and proof · cited by 1
- CategoryTheory.Center.leftUnitor_hom_fstatement · cited by 1
- CategoryTheory.Center.rightUnitor_hom_fstatement · cited by 1
- CategoryTheory.Center.tensorHomproof · cited by 1
- CategoryTheory.Center.whiskerLeft_commstatement and proof · cited by 1
- CategoryTheory.Center.whiskerRight_commstatement and proof · cited by 1