Theorems · Theorem · real analysis
hasDerivAt_id
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] (x : 𝕜), HasDerivAt id 1 x- Defined in
- Mathlib.Analysis.Calculus.Deriv.Basic
- Cited by
- 36 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NontriviallyNormedField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- nhdsproof · cited by 5,554
- SProd.sprodproof · cited by 1,750
- HasDerivAtstatement · cited by 493
- hasDerivAtFilter_idproof · cited by 5
Cited by36
Results whose statement or proof uses this declaration.
- Real.abs_log_sub_add_sum_range_leproof · cited by 4
- ProbabilityTheory.gaussianReal_map_const_mulproof · cited by 4
- HasLineDerivWithinAt.smulproof · cited by 3
- InformationTheory.hasDerivAt_klFunproof · cited by 3
- ProbabilityTheory.gaussianReal_map_add_constproof · cited by 3
- intervalIntegral.intervalIntegrable_log'proof · cited by 2
- hasDerivAt_ofReal_cpow_const'proof · cited by 2
- Real.hasDerivAt_half_log_one_add_div_one_sub_sub_sum_rangeproof · cited by 2
- monomial_has_deriv_auxproof · cited by 2
- integral_exp_mul_complexproof · cited by 2
- QuadraticMap.hasLineDerivAtproof · cited by 2
- UpperHalfPlane.hasDerivAt_denom_zpowproof · cited by 2