Theorems · Definition · category theory
CategoryTheory.GrpObj.inv
{C : Type u₁} →
{inst : CategoryTheory.Category.{v₁, u₁} C} →
{inst_1 : CategoryTheory.CartesianMonoidalCategory C} → {X : C} → [self : CategoryTheory.GrpObj X] → X ⟶ XThe inverse in a group object
- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 50 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- CategoryTheory.GrpObj
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 and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.GrpObjstatement and proof · cited by 99
Cited by54
Results whose statement or proof uses this declaration.
- CategoryTheory.GrpObj.left_invstatement · 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.grpObjObjproof · cited by 5
- CategoryTheory.GrpObj.right_invstatement · cited by 5
- CategoryTheory.Functor.FullyFaithful.grpObjproof · cited by 4
- CategoryTheory.GrpObj.ofIsoproof · cited by 4
- CategoryTheory.GrpObj.eq_lift_inv_rightstatement and proof · cited by 3
- CategoryTheory.GrpObj.lift_left_mul_extproof · cited by 3
- CategoryTheory.GrpObj.mulRightproof · cited by 3
- CategoryTheory.GrpObj.eq_lift_inv_leftstatement and proof · cited by 2
- CategoryTheory.GrpObj.inv_compproof · cited by 2