Theorems · Theorem · global analysis
hasFDerivAt_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), HasFDerivAt id (ContinuousLinearMap.id 𝕜 E) x- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Basic
- Cited by
- 18 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.
Cites9
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
- SProd.sprodproof · cited by 1,750
- HasFDerivAtstatement · cited by 350
- ContinuousLinearMap.idstatement · cited by 233
- hasFDerivAtFilter_idproof · cited by 5
Cited by18
Results whose statement or proof uses this declaration.
- differentiableAt_idproof · cited by 63
- HasFDerivAt.hasFDerivAt_norm_smulproof · cited by 4
- hasFDerivAt_updateproof · cited by 3
- fderiv_idproof · cited by 2
- HasFDerivAt.of_local_left_inverseproof · cited by 2
- hasFDerivAt_prodMk_leftproof · cited by 2
- hasFDerivAt_prodMk_rightproof · cited by 2
- NumberField.mixedEmbedding.hasFDerivAt_polarCoordReal_symmproof · cited by 2
- HasCompactSupport.hasFDerivAt_convolution_rightproof · cited by 2
- conformalAt_const_smulproof · cited by 2
- hasFDerivAt_stereoInvFunAuxproof · cited by 1
- MeasureTheory.hasFDerivAt_convolution_right_with_paramproof · cited by 1