Theorems · Theorem · functional analysis

ContDiffMapSupportedIn.memLp_top

∀ {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} {m : MeasurableSpace E} [OpensMeasurableSpace E]
  {μ : MeasureTheory.Measure E} (f : ContDiffMapSupportedIn E F n K), MeasureTheory.MemLp ⇑f ⊤ μ

Defined in: Mathlib.Analysis.Distribution.ContDiffMapSupportedIn
Cited by: 1 results in Mathlib
Foundations: Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedSpace NormedAddCommGroup NormedSpace OpensMeasurableSpace

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

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
MeasurableSpacestatement and proof · cited by 13,106
NormedSpacestatement and proof · cited by 12,499
MeasureTheory.Measurestatement and proof · cited by 10,939
ENNRealstatement · cited by 9,879
Top.topstatement · cited by 9,680
ENatstatement and proof · cited by 4,985
OpensMeasurableSpacestatement and proof · cited by 636
MeasureTheory.MemLpstatement · cited by 457
TopologicalSpace.Compactsstatement and proof · cited by 386

Cited by1

Results whose statement or proof uses this declaration.

ContDiffMapSupportedIn.integrable_bilinproof · cited by 0