Theorems · Definition · category theory
CategoryTheory.Comon.MonOpOpToComon
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
CategoryTheory.Functor (CategoryTheory.Mon Cᵒᵖ)ᵒᵖ (CategoryTheory.Comon C)The contravariant functor turning monoid objects in the opposite category into comonoid objects.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Comon_
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- Opposite.unopproof · cited by 2,231
- Quiver.Hom.unopproof · cited by 903
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.Mon.Hom.homproof · cited by 200
- CategoryTheory.Comonstatement · cited by 125
- CategoryTheory.Comon.MonOpOpToComonObjproof · cited by 11
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Comon.Comon_EquivMon_OpOpproof · cited by 21
- CategoryTheory.Comon.Comon_EquivMon_OpOp_inversestatement · cited by 0
- CategoryTheory.Comon.Comon_EquivMon_OpOp_unitIsostatement · cited by 0
- CategoryTheory.Comon.MonOpOpToComon_map_homstatement and proof · cited by 0
- CategoryTheory.Comon.MonOpOpToComon_objstatement and proof · cited by 0
- CategoryTheory.Comon.Comon_EquivMon_OpOp_counitIsostatement · cited by 0