Theorems · Theorem · functional analysis

Distribution.dsupport_iteratedLineDerivOp_subset

∀ {E : Type u_11} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {Ω : TopologicalSpace.Opens E}
  {F : Type u_12} [inst_2 : AddCommGroup F] [inst_3 : Module ℝ F] [inst_4 : TopologicalSpace F]
  [inst_5 : IsTopologicalAddGroup F] [inst_6 : ContinuousSMul ℝ F] {f : Distribution Ω F ⊤} {n : ℕ} (m : Fin n → E),
  Distribution.dsupport ⇑(LineDeriv.iteratedLineDerivOp m f) ⊆ Distribution.dsupport ⇑f

Defined in

Mathlib.Analysis.Distribution.Support

Cited by

0 results in Mathlib

Foundations

Depth 237 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceAddCommGroupModuleTopologicalSpaceIsTopologicalAddGroupContinuousSMul