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Theorems · Theorem · real analysis

ContDiff.fun_div

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type uE} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {f g : E → 𝕜} {n : WithTop ℕ∞},
  ContDiff 𝕜 n f → ContDiff 𝕜 n g → (∀ (x : E), g x ≠ 0) → ContDiff 𝕜 n fun i => f i / g i

Eta-expanded form of ContDiff.div

Defined in
Mathlib.Analysis.Calculus.ContDiff.Operations
Cited by
0 results in Mathlib
Foundations
Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpace
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NormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldENat · cited by 4985ENatWithTop · cited by 3754WithTopContDiff · cited by 352ContDiffContDiff.div · cited by 2ContDiff.divContDiff.fun_divCITED BYCITES

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