Theorems · Inductive type · category theory
CategoryTheory.GrpObj
{C : Type u₁} → [inst : CategoryTheory.Category.{v₁, u₁} C] → [CategoryTheory.CartesianMonoidalCategory C] → C → Type v₁A group object internal to a cartesian monoidal category. Also see the bundled Grp.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 99 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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.CartesianMonoidalCategorystatement · cited by 947
Cited by141
Results whose statement or proof uses this declaration.
- CategoryTheory.GrpObj.invstatement and proof · cited by 50
- CategoryTheory.Hom.groupstatement and proof · cited by 25
- CategoryTheory.GrpObj.comp_invstatement and proof · cited by 10
- CategoryTheory.yonedaGrpObjstatement and proof · cited by 9
- CategoryTheory.GrpObj.commutatorstatement and proof · cited by 9
- CategoryTheory.GrpObj.conjstatement and proof · cited by 7
- CategoryTheory.GrpObj.left_invstatement and proof · cited by 6
- CategoryTheory.GrpObj.lift_comp_inv_leftstatement and proof · cited by 6
- CategoryTheory.GrpObj.lift_comp_inv_rightstatement and proof · cited by 6
- CategoryTheory.Functor.grpObjObjstatement and proof · cited by 5
- CategoryTheory.GrpObj.right_invstatement and proof · cited by 5
- CategoryTheory.IsMonHom.Normalstatement · cited by 4