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[Merged by Bors] - feat(analysis/normed_space/normed_group_hom): add norm_noninc.neg #9658

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[Merged by Bors] - feat(analysis/normed_space/normed_group_hom): add norm_noninc.neg #9658

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e8fc4dd
add norm_noninc.neg
riccardobrasca Oct 11, 2021
ac27d85
add neg_iff
riccardobrasca Oct 11, 2021
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3 changes: 3 additions & 0 deletions src/analysis/normed_space/normed_group_hom.lean
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Expand Up @@ -548,6 +548,9 @@ lemma comp {g : normed_group_hom V₂ V₃} {f : normed_group_hom V₁ V₂}
(g.comp f).norm_noninc :=
λ v, (hg (f v)).trans (hf v)

lemma neg {f : normed_group_hom V₁ V₂} (hf : f.norm_noninc) : (-f).norm_noninc :=
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λ x, (norm_neg (f x)).le.trans (hf x)

end norm_noninc

section isometry
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