Theorems · Theorem · functional analysis

ContDiffMapSupportedIn.hasCompactSupport

∀ {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),
  HasCompactSupport ⇑f

Defined in: Mathlib.Analysis.Distribution.ContDiffMapSupportedIn
Cited by: 4 results in Mathlib
Foundations: Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedSpace NormedAddCommGroup NormedSpace

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Cites11

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
ENatstatement and proof · cited by 4,985
TopologicalSpace.Compactsstatement and proof · cited by 386
HasCompactSupportstatement · cited by 196
ContDiffMapSupportedInstatement and proof · cited by 107
TopologicalSpace.Compacts.isCompactproof · cited by 18
HasCompactSupport.introproof · cited by 4
ContDiffMapSupportedIn.zero_on_complproof · cited by 3

Cited by4

Results whose statement or proof uses this declaration.

ContDiffMapSupportedIn.memLp_topproof · cited by 1
ContDiffMapSupportedIn.stronglyMeasurableproof · cited by 1
ContDiffMapSupportedIn.bounded_iteratedFDerivproof · cited by 0
ContDiffMapSupportedIn.integrableproof · cited by 0