Theorems · Theorem · functional analysis
norm_fderiv_norm
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {x : E} [Nontrivial E],
DifferentiableAt ℝ (fun x => ‖x‖) x → ‖fderiv ℝ (fun x => ‖x‖) x‖ = 1- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Norm
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 190 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
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- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Norm.normstatement and proof · cited by 5,413
- ContinuousLinearMapstatement · cited by 5,352
- one_mulproof · cited by 2,841
- Nontrivialstatement and proof · cited by 2,416
- le_antisymmproof · cited by 2,068
- DifferentiableAtstatement and proof · cited by 617
- fderivstatement and proof · cited by 398
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