Theorems · Theorem · real analysis
hasStrictFDerivAt_inv
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {x : 𝕜},
x ≠ 0 → HasStrictFDerivAt (fun x => x⁻¹) (ContinuousLinearMap.toSpanSingleton 𝕜 (-(x ^ 2)⁻¹)) x- Defined in
- Mathlib.Analysis.Calculus.Deriv.Inv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NontriviallyNormedField
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- NontriviallyNormedFieldstatement and proof · cited by 8,742
- HasStrictFDerivAtstatement · cited by 261
- ContinuousLinearMap.toSpanSingletonstatement · cited by 133
- hasStrictDerivAt_invproof · cited by 4
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