Mathlib Map

Theorems · Theorem · category theory

CommGrpTypeEquivalenceCommGrp.inverse_obj_inv

∀ {A : CommGrpCat} {x : (fun X => X) (CommGrpTypeEquivalenceCommGrp.inverse.obj A).X},
  (CategoryTheory.ConcreteCategory.hom CategoryTheory.GrpObj.inv) x = x⁻¹
Defined in
Mathlib.CategoryTheory.Monoidal.Internal.Types.CommGrp_
Cited by
0 results in Mathlib
Foundations
Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DFunLike.coe · cited by 62936DFunLike.coeCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homTypeCat.Fun · cited by 1307TypeCat.FunCommGrpCat · cited by 74CommGrpCatCategoryTheory.CommGrp · cited by 74CategoryTheory.CommGrpCommGrpCat.carrier · cited by 59CommGrpCat.carrierCategoryTheory.GrpObj.inv · cited by 50GrpObj.invCategoryTheory.CommGrp.X · cited by 39CommGrp.XCommGrpTypeEquivalenceCommGrp.inverse · cited by 4CommGrpTypeEquivalenceCom…CommGrpTypeEquivalenceCommGrp…CITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.