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Theorems · Theorem · category theory

CommGrpCat.inv_hom_apply

∀ {X Y : CommGrpCat} (e : X ≅ Y) (x : ↑X),
  (CategoryTheory.ConcreteCategory.hom e.inv) ((CategoryTheory.ConcreteCategory.hom e.hom) x) = x
Defined in
Mathlib.Algebra.Category.Grp.Basic
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Foundations
Depth 18 from the axioms · uses propext, Quot.sound
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Around this declaration

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DFunLike.coe · cited by 62936DFunLike.coeCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.Iso.inv · cited by 6514Iso.invCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homCategoryTheory.Iso · cited by 3963CategoryTheory.IsoMonoidHom · cited by 3629MonoidHomCommGrpCat · cited by 74CommGrpCatCommGrpCat.carrier · cited by 59CommGrpCat.carrierCategoryTheory.Iso.hom_inv_id_apply · cited by 50Iso.hom_inv_id_applyCommGrpCat.inv_hom_applyCITED BYCITES

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