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Theorems · Theorem · category theory

SemiNormedGrp.comp_apply

∀ {M N O : SemiNormedGrp} (f : M ⟶ N) (g : N ⟶ O) (r : M.carrier),
  (CategoryTheory.ConcreteCategory.hom (CategoryTheory.CategoryStruct.comp f g)) r =
    (CategoryTheory.ConcreteCategory.hom g) ((CategoryTheory.ConcreteCategory.hom f) r)
Defined in
Mathlib.Analysis.Normed.Group.SemiNormedGrp
Cited by
1 results in Mathlib
Foundations
Depth 172 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.

SemiNormedGrp.iso_isometry_of_normNoninc · cited by 0SemiNormedGrp.iso_isometr…DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homNormedAddGroupHom · cited by 216NormedAddGroupHomSemiNormedGrp · cited by 66SemiNormedGrpSemiNormedGrp.carrier · cited by 45SemiNormedGrp.carrierSemiNormedGrp.Hom.hom · cited by 24Hom.homNormedAddGroupHom.comp_apply · cited by 5NormedAddGroupHom.comp_ap…SemiNormedGrp.comp_applyCITED BYCITES

Cites9

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Cited by1

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