Theorems · Theorem · real analysis

ContDiffWithinAt.div

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type uE} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {s : Set E} {x : E} {f g : E → 𝕜} {n : WithTop ℕ∞},
  ContDiffWithinAt 𝕜 n f s x → ContDiffWithinAt 𝕜 n g s x → g x ≠ 0 → ContDiffWithinAt 𝕜 n (f / g) s x

Defined in

Mathlib.Analysis.Calculus.ContDiff.Operations

Cited by

6 results in Mathlib

Foundations

Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpace