Theorems · Theorem · category theory

CategoryTheory.shrinkYonedaGrp_obj

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.LocallySmall.{w, v, u} C]
  [inst_2 : CategoryTheory.CartesianMonoidalCategory C] (X : CategoryTheory.Grp C),
  CategoryTheory.shrinkYonedaGrp.{w, v, u}.obj X = GrpCat.shrinkFunctor.{w, v, v, u} (CategoryTheory.yonedaGrp.obj X)

Defined in: Mathlib.CategoryTheory.Monoidal.Cartesian.ShrinkYoneda
Cited by: 0 results in Mathlib
Foundations: Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.LocallySmall CategoryTheory.CartesianMonoidalCategory

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites11

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.objstatement and proof · cited by 19,642
CategoryTheory.Functorstatement · cited by 16,252
Oppositestatement · cited by 8,081
CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
CategoryTheory.LocallySmallstatement and proof · cited by 242
GrpCatstatement · cited by 146
CategoryTheory.Grpstatement and proof · cited by 144
CategoryTheory.yonedaGrpstatement · cited by 9
GrpCat.shrinkFunctorstatement · cited by 6
CategoryTheory.shrinkYonedaGrpstatement and proof · cited by 5

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.