Theorems · Theorem · real analysis
derivWithin_fun_const
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {F : Type v} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] (s : Set 𝕜) (c : F), derivWithin (fun x => c) s = 0- Defined in
- Mathlib.Analysis.Calculus.Deriv.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 169 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.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- derivWithinstatement · cited by 258
- zero_applyproof · cited by 251
- fderivWithin_fun_constproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- derivWithin_constproof · cited by 5
- iteratedDerivWithin_constproof · cited by 3
- curveIntegralFun_reflproof · cited by 2
- derivWithin_mul_const_fieldproof · cited by 2