Theorems · Theorem · functional analysis

ContDiffMapSupportedIn.iteratedFDerivLM_apply_of_gt

∀ (𝕜 : Type u_1) {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace ℝ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace ℝ F] [inst_5 : NormedSpace 𝕜 F]
  [inst_6 : SMulCommClass ℝ 𝕜 F] {n k : ℕ∞} {K : TopologicalSpace.Compacts E} {i : ℕ}
  (f : ContDiffMapSupportedIn E F n K), n < k + ↑i → (ContDiffMapSupportedIn.iteratedFDerivLM 𝕜 n k i) f = 0

Defined in

Mathlib.Analysis.Distribution.ContDiffMapSupportedIn

Cited by

0 results in Mathlib

Foundations

Depth 219 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpaceNormedSpaceSMulCommClass