Theorems · Theorem · category theory
CategoryTheory.GrpObj.inv_eq_inv
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] {G : C}
[inst_2 : CategoryTheory.GrpObj G], CategoryTheory.GrpObj.inv = (CategoryTheory.CategoryStruct.id G)⁻¹- Cited by
- 1 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.GrpObjstatement and proof · cited by 99
- CategoryTheory.GrpObj.invstatement and proof · cited by 50
- CategoryTheory.Hom.groupstatement · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.GrpObj.one_invproof · cited by 1