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Theorems · Theorem · real analysis

hasStrictDerivAt_id

∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] (x : 𝕜), HasStrictDerivAt id 1 x
Defined in
Mathlib.Analysis.Calculus.Deriv.Basic
Cited by
14 results in Mathlib
Foundations
Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedField
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Complex.hasStrictDerivAt_const_cpow · cited by 6Complex.hasStrictDerivAt_…Complex.hasStrictDerivAt_sin · cited by 5Complex.hasStrictDerivAt_…Complex.hasStrictDerivAt_cos · cited by 5Complex.hasStrictDerivAt_…Complex.hasStrictDerivAt_cpow_const · cited by 5Complex.hasStrictDerivAt_…Complex.hasStrictDerivAt_cosh · cited by 4Complex.hasStrictDerivAt_…hasStrictDerivAt_pow · cited by 4hasStrictDerivAt_powComplex.hasStrictDerivAt_sinh · cited by 4Complex.hasStrictDerivAt_…hasStrictDerivAt_abs_pos · cited by 3hasStrictDerivAt_abs_posUpperHalfPlane.hasStrictDerivAt_smul · cited by 3UpperHalfPlane.hasStrictD…Real.hasStrictDerivAt_const_rpow · cited by 3Real.hasStrictDerivAt_con…Real.hasStrictDerivAt_rpow_const_of_ne · cited by 2Real.hasStrictDerivAt_rpo…Function.Periodic.differentiableAt_cuspFunction · cited by 2Periodic.differentiableAt…hasStrictDerivAt_neg · cited by 2hasStrictDerivAt_negReal.hasStrictDerivAt_const_rpow_of_neg · cited by 0Real.hasStrictDerivAt_con…NontriviallyNormedField · cited by 8742NontriviallyNormedFieldnhds · cited by 5554nhdsHasStrictDerivAt · cited by 163HasStrictDerivAthasDerivAtFilter_id · cited by 5hasDerivAtFilter_idhasStrictDerivAt_idCITED BYCITES

Cites4

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Cited by14

Results whose statement or proof uses this declaration.