Theorems · Theorem · category theory
CategoryTheory.GrpObj.inv_inv
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
(A : C) [inst_2 : CategoryTheory.GrpObj A], CategoryTheory.inv CategoryTheory.GrpObj.inv = CategoryTheory.GrpObj.invFor inv ≫ inv = 𝟙 see inv_comp_inv.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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 and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.invstatement and proof · cited by 467
- CategoryTheory.GrpObjstatement and proof · cited by 99
- CategoryTheory.GrpObj.invstatement and proof · cited by 50
- CategoryTheory.IsIso.inv_invproof · cited by 10
- CategoryTheory.GrpObj.inv_comp_invproof · cited by 2
- CategoryTheory.inv_comp_eq_idproof · cited by 2
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