Theorems · Theorem · functional analysis
Distribution.TemperedDistribution.IsVanishingOn.lineDerivOp
∀ {E : Type u_5} {F : Type u_6} [inst : NormedAddCommGroup E] [inst_1 : NormedAddCommGroup F] [inst_2 : NormedSpace ℝ E]
[inst_3 : NormedSpace ℂ F] {f : TemperedDistribution E F} {s : Set E},
Distribution.IsVanishingOn (⇑f) s → ∀ (m : E), Distribution.IsVanishingOn (⇑(LineDeriv.lineDerivOp m f)) s- Defined in
- Mathlib.Analysis.Distribution.Support
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 230 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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 and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Set.Elemstatement · cited by 7,166
- Set.ofPredstatement · cited by 6,101
- Complexstatement and proof · cited by 5,565
- LE.le.transproof · cited by 3,151
- Finitestatement · cited by 3,029
- map_negproof · cited by 378
Cited by2
Results whose statement or proof uses this declaration.
- Distribution.TemperedDistribution.IsVanishingOn.iteratedLineDerivOpproof · cited by 1
- Distribution.TemperedDistribution.dsupport_lineDerivOp_subsetproof · cited by 0