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Theorems · Theorem · category theory

SemiNormedGrp.completion.map_normNoninc

∀ {V W : SemiNormedGrp} {f : V ⟶ W},
  (SemiNormedGrp.Hom.hom f).NormNoninc → (SemiNormedGrp.Hom.hom (SemiNormedGrp.completion.map f)).NormNoninc
Defined in
Mathlib.Analysis.Normed.Group.SemiNormedGrp.Completion
Cited by
0 results in Mathlib
Foundations
Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
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Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor.map · cited by 8698Functor.mapLE.le.trans · cited by 3151le.transEq.le · cited by 605Eq.leSemiNormedGrp · cited by 66SemiNormedGrpSemiNormedGrp.carrier · cited by 45SemiNormedGrp.carrierNormedAddGroupHom.NormNoninc · cited by 41NormedAddGroupHom.NormNon…SemiNormedGrp.Hom.hom · cited by 24Hom.homSemiNormedGrp.completion · cited by 8SemiNormedGrp.completionNormedAddGroupHom.NormNoninc.normNoninc_iff_norm_le_one · cited by 4NormNoninc.normNoninc_iff…NormedAddGroupHom.norm_completion · cited by 2NormedAddGroupHom.norm_co…completion.map_normNonincCITED BYCITES

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