Theorems · Theorem · real analysis
hasStrictDerivAt_const
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {F : Type v} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] (x : 𝕜) (c : F), HasStrictDerivAt (fun x => c) 0 x- Defined in
- Mathlib.Analysis.Calculus.Deriv.Basic
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- nhdsproof · cited by 5,554
- HasStrictDerivAtstatement · cited by 163
- hasDerivAtFilter_constproof · cited by 8
Cited by16
Results whose statement or proof uses this declaration.
- Complex.hasStrictDerivAt_const_cpowproof · cited by 6
- HasStrictDerivAt.mul_constproof · cited by 5
- Complex.hasStrictDerivAt_cpow_constproof · cited by 5
- HasStrictDerivAt.const_mulproof · cited by 4
- Real.hasStrictDerivAt_const_rpowproof · cited by 3
- Real.deriv_sqrt_auxproof · cited by 2
- Real.deriv_arcsin_auxproof · cited by 2
- Real.hasStrictDerivAt_rpow_const_of_neproof · cited by 2
- HasStrictDerivAt.of_notMem_tsupportproof · cited by 1
- HasStrictDerivAt_ofNatproof · cited by 0
- hasStrictDerivAt_intCastproof · cited by 0
- hasStrictDerivAt_natCastproof · cited by 0