Theorems · Definition · category theory
CategoryTheory.Center.isoMk
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
{X Y : CategoryTheory.Center C} → (f : X ⟶ Y) → [CategoryTheory.IsIso f.f] → X ≅ YConstruct an isomorphism in the Drinfeld center from a morphism whose underlying morphism is an isomorphism.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Center
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.Isostatement · cited by 3,963
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.invproof · cited by 467
- CategoryTheory.HalfBraidingstatement · cited by 62
- CategoryTheory.Centerstatement and proof · cited by 58
- CategoryTheory.Center.Hom.fstatement and proof · cited by 33
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.Center.braidingproof · cited by 2
- CategoryTheory.Center.associatorproof · cited by 0
- CategoryTheory.Center.rightUnitorproof · cited by 0
- CategoryTheory.Center.isoMk.congr_simpstatement and proof · cited by 0
- CategoryTheory.Center.isoMk_homstatement and proof · cited by 0
- CategoryTheory.Center.isoMk_inv_fstatement and proof · cited by 0
- CategoryTheory.Center.leftUnitorproof · cited by 0