Theorems · Definition · category theory
CategoryTheory.prod.leftUnitorEquivalence
(C : Type u) → [inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.Discrete PUnit.{w + 1} × C ≌ CThe equivalence of categories expressing left unity of products of categories.
- Defined in
- Mathlib.CategoryTheory.Products.Unitor
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.Functor.idproof · cited by 3,333
- CategoryTheory.Discretestatement and proof · cited by 2,447
- CategoryTheory.Iso.reflproof · cited by 727
- CategoryTheory.Equivalencestatement · cited by 601
- CategoryTheory.prod.leftInverseUnitorproof · cited by 8
- CategoryTheory.prod.leftUnitorproof · cited by 6
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.Comma.toIdPUnitEquivproof · cited by 1
- CategoryTheory.MonoidalCategory.DayConvolutionUnit.leftUnitorCorepresentingIso_hom_app_hom_apply_appstatement and proof · cited by 0
- CategoryTheory.MonoidalCategory.DayConvolutionUnit.leftUnitorCorepresentingIso_inv_app_hom_apply_appstatement and proof · cited by 0
- CategoryTheory.prod.leftUnitorEquivalence_counitIsostatement and proof · cited by 0
- CategoryTheory.prod.leftUnitorEquivalence_functorstatement and proof · cited by 0
- CategoryTheory.prod.leftUnitorEquivalence_inversestatement and proof · cited by 0
- CategoryTheory.prod.leftUnitorEquivalence_unitIsostatement and proof · cited by 0