Theorems · Inductive type · category theory
CategoryTheory.IsCommComonObj
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
[CategoryTheory.BraidedCategory C] → (X : C) → [CategoryTheory.ComonObj X] → PropPredicate for a comonoid object to be commutative.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Comon_
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.MonoidalCategorystatement · cited by 3,095
- CategoryTheory.BraidedCategorystatement · cited by 779
- CategoryTheory.ComonObjstatement · cited by 48
Cited by17
Results whose statement or proof uses this declaration.
- CategoryTheory.CommComon.mk.injstatement and proof · cited by 1
- CategoryTheory.CommComon.mk.noConfusionstatement and proof · cited by 1
- CategoryTheory.IsCommComonObj.comul_commstatement and proof · cited by 1
- CategoryTheory.CommComon.casesOnstatement and proof · cited by 0
- CategoryTheory.CopyDiscardCategory.mk.noConfusionstatement and proof · cited by 0
- CategoryTheory.CommComon.noConfusionproof · cited by 0
- CategoryTheory.CommComon.noConfusionTypeproof · cited by 0
- CategoryTheory.CommComon.recOnstatement and proof · cited by 0
- CategoryTheory.CopyDiscardCategory.casesOnstatement and proof · cited by 0
- CategoryTheory.CommComon.mk.injEqstatement and proof · cited by 0
- CategoryTheory.CommComon.mk.sizeOf_specstatement and proof · cited by 0
- CategoryTheory.CopyDiscardCategory.noConfusionproof · cited by 0