Theorems · Definition · category theory
CategoryTheory.Comon.ComonToMonOpOpObj
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] → CategoryTheory.Comon C → CategoryTheory.Mon CᵒᵖTurn a comonoid object into a monoid object in the opposite category.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Comon_
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Oppositestatement · cited by 8,081
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Monstatement · cited by 465
- CategoryTheory.Comonstatement and proof · cited by 125
- CategoryTheory.Comon.Xproof · cited by 105
Cited by12
Results whose statement or proof uses this declaration.
- CategoryTheory.Comon.ComonToMonOpOpproof · cited by 5
- CategoryTheory.Comon.ComonToMonOpOpObj_mon_onestatement · cited by 3
- CategoryTheory.Comon.ComonToMonOpOpObj_mon_mulstatement · cited by 2
- CategoryTheory.Comon.monoidal_associator_hom_homstatement · cited by 0
- CategoryTheory.Comon.monoidal_associator_inv_homstatement and proof · cited by 0
- CategoryTheory.Comon.monoidal_leftUnitor_hom_homstatement and proof · cited by 0
- CategoryTheory.Comon.monoidal_leftUnitor_inv_homstatement and proof · cited by 0
- CategoryTheory.Comon.monoidal_rightUnitor_hom_homstatement and proof · cited by 0
- CategoryTheory.Comon.monoidal_rightUnitor_inv_homstatement and proof · cited by 0
- CategoryTheory.Comon.ComonToMonOpOpObj_Xstatement and proof · cited by 0
- CategoryTheory.Comon.ComonToMonOpOp_mapstatement · cited by 0
- CategoryTheory.Comon.ComonToMonOpOp_objstatement · cited by 0