Theorems · Theorem · real analysis
ContDiff.differentiable_iteratedDeriv
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type u_2} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] {f : 𝕜 → F} {n : WithTop ℕ∞} (m : ℕ),
ContDiff 𝕜 n f → ↑m < n → Differentiable 𝕜 (iteratedDeriv m f)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 197 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.
- 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
- ContDiffstatement and proof · cited by 352
- Differentiablestatement · cited by 298
- iteratedDerivstatement · cited by 188
- lt_add_oneproof · cited by 105
- ContDiff.of_leproof · cited by 18
- ENat.add_one_natCast_le_withTop_of_ltproof · cited by 8
- contDiff_iff_iteratedDerivproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- ContDiff.differentiable_iteratedDeriv'proof · cited by 1