Theorems · Theorem · real analysis
fderivWithin_fun_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] {s : Set E} (c : F), fderivWithin 𝕜 (fun x => c) s = 0- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Const
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 168 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.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement and proof · cited by 5,352
- fderivWithinstatement · cited by 357
- ContinuousLinearMap.extproof · cited by 320
- Pi.zero_applyproof · cited by 70
- fderivWithin_const_applyproof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- fderiv_fun_constproof · cited by 6
- fderivWithin_constproof · cited by 5
- derivWithin_fun_constproof · cited by 4
- fderivWithin_comp_smul_eq_fderivWithin_smulproof · cited by 3
- iteratedFDerivWithin_succ_constproof · cited by 3
- fderivWithin_comp_smulproof · cited by 1