Theorems · Theorem · global analysis
hasStrictFDerivAt_id
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
[inst_3 : TopologicalSpace E] (x : E), HasStrictFDerivAt id (ContinuousLinearMap.id 𝕜 E) x- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- nhdsproof · cited by 5,554
- HasStrictFDerivAtstatement · cited by 261
- ContinuousLinearMap.idstatement · cited by 233
- hasFDerivAtFilter_idproof · cited by 5
Cited by11
Results whose statement or proof uses this declaration.
- hasStrictFDerivAt_norm_sqproof · cited by 6
- ImplicitFunctionData.fderiv_implicitFunction_apply_eq_iffproof · cited by 3
- ContinuousAlternatingMap.hasStrictFDerivAt_compContinuousLinearMapproof · cited by 3
- HasStrictFDerivAt.of_local_left_inverseproof · cited by 2
- ImplicitFunctionData.hasStrictFDerivAt_implicitFunction_fderivproof · cited by 2
- HasStrictFDerivAt.hasStrictFDerivAt_norm_smulproof · cited by 2
- ContinuousMultilinearMap.hasStrictFDerivAt_uncurryproof · cited by 2
- LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelfproof · cited by 1
- hasStrictFDerivAt_powproof · cited by 0
- hasStrictFDerivAt_pow'proof · cited by 0
- hasStrictFDerivAt_sub_constproof · cited by 0