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Theorems · Theorem · global analysis

Differentiable.add

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {F : Type u_3} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {f g : E → F},
  Differentiable 𝕜 f → Differentiable 𝕜 g → Differentiable 𝕜 (f + g)
Defined in
Mathlib.Analysis.Calculus.FDeriv.Add
Cited by
8 results in Mathlib
Foundations
Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace
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Around this declaration

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HurwitzZeta.differentiable_hurwitzZetaOdd · cited by 5HurwitzZeta.differentiabl…PhragmenLindelof.horizontal_strip · cited by 3PhragmenLindelof.horizont…Complex.Gamma_mul_Gamma_add_half · cited by 2Complex.Gamma_mul_Gamma_a…Differentiable.add_iff_left · cited by 2Differentiable.add_iff_le…ZMod.differentiable_completedLFunction₀ · cited by 1ZMod.differentiable_compl…HurwitzZeta.differentiableAt_sinZeta · cited by 1HurwitzZeta.differentiabl…HurwitzZeta.differentiable_hurwitzZeta_sub_hurwitzZeta · cited by 0HurwitzZeta.differentiabl…Differentiable.fun_add · cited by 0Differentiable.fun_addNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldDifferentiable · cited by 298DifferentiableDifferentiableAt.add · cited by 8DifferentiableAt.addDifferentiable.addCITED BYCITES

Cites5

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Cited by8

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