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Theorems · Definition · category theory

CommGrpTypeEquivalenceCommGrp.inverse

CategoryTheory.Functor CommGrpCat (CategoryTheory.CommGrp (Type u))

Converting a group into a group object in Type u.

Defined in
Mathlib.CategoryTheory.Monoidal.Internal.Types.CommGrp_
Cited by
4 results in Mathlib
Foundations
Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

CommGrpTypeEquivalenceCommGrp.inverse_obj_X · cited by 0CommGrpTypeEquivalenceCom…CommGrpTypeEquivalenceCommGrp.inverse_obj_inv · cited by 0CommGrpTypeEquivalenceCom…CommGrpTypeEquivalenceCommGrp.inverse_obj_mul · cited by 0CommGrpTypeEquivalenceCom…CommGrpTypeEquivalenceCommGrp.inverse_obj_one · cited by 0CommGrpTypeEquivalenceCom…commGrpTypeEquivalenceCommGrp · cited by 0commGrpTypeEquivalenceCom…Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.map · cited by 8698Functor.mapCategoryTheory.Equivalence.inverse · cited by 1130Equivalence.inverseCategoryTheory.forget₂ · cited by 260CategoryTheory.forget₂GrpCat · cited by 146GrpCatCategoryTheory.Grp · cited by 144CategoryTheory.GrpCategoryTheory.Grp.X · cited by 99Grp.XCommGrpCat · cited by 74CommGrpCatCategoryTheory.CommGrp · cited by 74CategoryTheory.CommGrpCategoryTheory.InducedCategory.homMk · cited by 33InducedCategory.homMkgrpTypeEquivalenceGrp · cited by 0grpTypeEquivalenceGrpGrpTypeEquivalenceGrp.inverse · cited by 0GrpTypeEquivalenceGrp.inv…CommGrpTypeEquivalenceCommGrp…CITED BYCITES

Cites14

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

Cited by5

Results whose statement or proof uses this declaration.