Theorems · Theorem · real analysis
contDiffOn_const
∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {n : WithTop ℕ∞} {c : F}
{s : Set E}, ContDiffOn 𝕜 n (fun x => c) s- Defined in
- Mathlib.Analysis.Calculus.ContDiff.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 199 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.
- 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
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- ContDiffOnstatement · cited by 294
- ContDiff.contDiffOnproof · cited by 38
- contDiff_constproof · cited by 36
Cited by7
Results whose statement or proof uses this declaration.
- contDiffOn_clm_applyproof · cited by 2
- iteratedFDerivWithin_clm_apply_const_applyproof · cited by 1
- taylor_integral_remainder_of_absolutelyContinuousproof · cited by 0
- contDiffOn_of_subsingletonproof · cited by 0
- OpenPartialHomeomorph.contDiffOn_univBall_symmproof · cited by 0
- ExistsContDiffBumpBase.y_smoothproof · cited by 0
- Real.contDiffOn_arccosproof · cited by 0