Theorems · Definition · category theory

CategoryTheory.yonedaGrpFullyFaithful

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] → CategoryTheory.yonedaGrp.FullyFaithful

The yoneda embedding for Grp C is fully faithful.

Defined in: Mathlib.CategoryTheory.Monoidal.Cartesian.Grp
Cited by: 0 results in Mathlib
Foundations: Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.CartesianMonoidalCategory

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites16

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.Functor.objproof · cited by 19,642
CategoryTheory.Functorstatement · cited by 16,252
Oppositestatement · cited by 8,081
CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
CategoryTheory.Functor.whiskerRightproof · cited by 467
CategoryTheory.forget₂proof · cited by 260
GrpCatstatement and proof · cited by 146
CategoryTheory.Grpstatement and proof · cited by 144
MonCatproof · cited by 127
CategoryTheory.Functor.FullyFaithfulstatement · cited by 87

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.