Theorems · Theorem · real analysis
hasFDerivAtFilter_const
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
[inst_3 : TopologicalSpace E] {F : Type u_3} [inst_4 : AddCommGroup F] [inst_5 : Module 𝕜 F]
[inst_6 : TopologicalSpace F] (c : F) (L : Filter (E × E)), HasFDerivAtFilter (fun x => c) 0 L- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Const
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Filterstatement and proof · cited by 8,121
- ContinuousLinearMapstatement · cited by 5,352
- sub_selfproof · cited by 996
- zero_applyproof · cited by 251
- HasFDerivAtFilterstatement · cited by 81
- Asymptotics.IsLittleOTVS.zeroproof · cited by 5
- Asymptotics.IsLittleOTVS.congr_leftproof · cited by 4
Cited by10
Results whose statement or proof uses this declaration.
- hasFDerivAt_constproof · cited by 16
- hasStrictFDerivAt_constproof · cited by 9
- hasDerivAtFilter_constproof · cited by 8
- hasFDerivWithinAt_constproof · cited by 8
- hasGradientAtFilter_constproof · cited by 2
- hasFDerivAtFilter_zeroproof · cited by 0
- hasFDerivAtFilter_intCastproof · cited by 0
- hasFDerivAtFilter_natCastproof · cited by 0
- hasFDerivAtFilter_ofNatproof · cited by 0
- hasFDerivAtFilter_oneproof · cited by 0