Theorems · Definition · category theory
CategoryTheory.prod.leftInverseUnitor
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.Functor C (CategoryTheory.Discrete PUnit.{w + 1} × C)The left inverse unitor C ⥤ 1 × C
- Defined in
- Mathlib.CategoryTheory.Products.Unitor
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
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.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.Prod.mkHomproof · cited by 108
Cited by9
Results whose statement or proof uses this declaration.
- CategoryTheory.prod.leftUnitorEquivalenceproof · cited by 7
- CategoryTheory.MonoidalCategory.DayConvolutionUnit.leftUnitor_inv_appproof · cited by 1
- CategoryTheory.prod.leftInverseUnitor_mapstatement and proof · cited by 0
- CategoryTheory.prod.leftInverseUnitor_objstatement and proof · cited by 0
- CategoryTheory.prod.leftUnitorEquivalence_counitIsostatement · cited by 0
- CategoryTheory.prod.leftUnitorEquivalence_inversestatement · cited by 0
- 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