Theorems · Theorem · functional analysis
ContDiffMapSupportedIn.bounded_iteratedFDeriv
∀ {E : Type u_2} {F : Type u_3} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : NormedAddCommGroup F]
[inst_3 : NormedSpace ℝ F] {n : ℕ∞} {K : TopologicalSpace.Compacts E} (f : ContDiffMapSupportedIn E F n K) {i : ℕ},
↑i ≤ n → ∃ C, ∀ (x : E), ‖iteratedFDeriv ℝ i (⇑f) x‖ ≤ C- Cited by
- 0 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Norm.normstatement · cited by 5,413
- ENatstatement and proof · cited by 4,985
- ContinuousMultilinearMapstatement · cited by 1,016
- TopologicalSpace.Compactsstatement and proof · cited by 386
- iteratedFDerivstatement · cited by 211
- ContDiffMapSupportedInstatement and proof · cited by 107
- ContDiff.continuous_iteratedFDerivproof · cited by 6
- ContDiffMapSupportedIn.hasCompactSupportproof · cited by 4
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