Theorems · Theorem · real analysis
support_iteratedFDeriv_subset
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {E : Type uE} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {f : E → F}
(n : ℕ), Function.support (iteratedFDeriv 𝕜 n f) ⊆ tsupport f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · 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
- LE.le.transproof · cited by 3,151
- ContinuousMultilinearMapstatement · cited by 1,016
- Function.supportstatement · cited by 610
- subset_closureproof · cited by 309
- iteratedFDerivstatement · cited by 211
- tsupportstatement · cited by 178
- tsupport_iteratedFDeriv_subsetproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ContDiffMapSupportedIn.iteratedFDeriv_zero_on_complproof · cited by 1