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Theorems · Theorem · real analysis

DiffContOnCl.const_add

∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedAddCommGroup F] [inst_3 : NormedSpace 𝕜 E] [inst_4 : NormedSpace 𝕜 F] {f : E → F} {s : Set E},
  DiffContOnCl 𝕜 f s → ∀ (c : F), DiffContOnCl 𝕜 (fun x => c + f x) s
Defined in
Mathlib.Analysis.Calculus.DiffContOnCl
Cited by
1 results in Mathlib
Foundations
Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedAddCommGroupNormedSpaceNormedSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Complex.HadamardThreeLines.scale_diffContOnCl · cited by 2HadamardThreeLines.scale_…Set · cited by 53352SetNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldDiffContOnCl · cited by 92DiffContOnCldiffContOnCl_const · cited by 6diffContOnCl_constDiffContOnCl.add · cited by 2DiffContOnCl.addDiffContOnCl.const_addCITED BYCITES

Cites7

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Cited by1

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