Theorems · Theorem · real analysis
HasCompactSupport.iteratedFDeriv
∀ {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},
HasCompactSupport f → ∀ (n : ℕ), HasCompactSupport (iteratedFDeriv 𝕜 n f)- Cited by
- 3 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.
Cites9
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
- ContinuousMultilinearMapstatement · cited by 1,016
- iteratedFDerivstatement · cited by 211
- HasCompactSupportstatement and proof · cited by 196
- isClosed_closureproof · cited by 195
- IsCompact.of_isClosed_subsetproof · cited by 67
- tsupport_iteratedFDeriv_subsetproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- IsOpen.exists_contDiff_support_eqproof · cited by 2
- ContDiffMapSupportedIn.bounded_iteratedFDerivproof · cited by 0
- HasCompactSupport.hasTemperateGrowthproof · cited by 0