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Theorems · Theorem · category theory

SemiNormedGrp.hom_inv_apply

∀ {M N : SemiNormedGrp} (e : M ≅ N) (s : N.carrier),
  (CategoryTheory.ConcreteCategory.hom e.hom) ((CategoryTheory.ConcreteCategory.hom e.inv) s) = s
Defined in
Mathlib.Analysis.Normed.Group.SemiNormedGrp
Cited by
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Foundations
Depth 171 from the axioms · uses propext, Classical.choice, 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.IsoNormedAddGroupHom · cited by 216NormedAddGroupHomSemiNormedGrp · cited by 66SemiNormedGrpCategoryTheory.Iso.inv_hom_id_apply · cited by 53Iso.inv_hom_id_applySemiNormedGrp.carrier · cited by 45SemiNormedGrp.carrierSemiNormedGrp.hom_inv_applyCITED BYCITES

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