Theorems · Theorem · functional analysis
ContDiffMapSupportedIn.iteratedFDeriv_zero_on_compl
∀ {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},
Set.EqOn (iteratedFDeriv ℝ i ⇑f) 0 (↑K)ᶜ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- SetLike.coestatement and proof · cited by 8,199
- ENatstatement and proof · cited by 4,985
- Compl.complstatement and proof · cited by 2,925
- ContinuousMultilinearMapstatement · cited by 1,016
- Set.EqOnstatement · cited by 603
- TopologicalSpace.Compactsstatement and proof · cited by 386
- iteratedFDerivstatement and proof · cited by 211
Cited by1
Results whose statement or proof uses this declaration.
- ContDiffMapSupportedIn.seminorm_le_iffproof · cited by 3