Theorems · Theorem · category theory
CategoryTheory.Center.Hom.ext
∀ {C : Type u₁} {inst : CategoryTheory.Category.{v₁, u₁} C} {inst_1 : CategoryTheory.MonoidalCategory C}
{X Y : CategoryTheory.Center C} {x y : X.Hom Y}, x.f = y.f → x = y- Defined in
- Mathlib.CategoryTheory.Monoidal.Center
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.whiskerLeftproof · cited by 915
- CategoryTheory.MonoidalCategoryStruct.whiskerRightproof · cited by 903
- CategoryTheory.HalfBraidingstatement · cited by 62
- CategoryTheory.Centerstatement and proof · cited by 58
- CategoryTheory.Center.Hom.fstatement and proof · cited by 33
- CategoryTheory.HalfBraiding.βproof · cited by 30
- CategoryTheory.Center.Homstatement and proof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Center.Hom.ext_iffproof · cited by 0