Theorems · Theorem · functional analysis
SchwartzMap.tsupport_smulLeftCLM_subset
∀ {𝕜 : Type u_2} {E : Type u_5} {F : Type u_6} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E]
[inst_2 : NormedAddCommGroup F] [inst_3 : NormedSpace ℝ F] [inst_4 : NontriviallyNormedField 𝕜]
[inst_5 : NormedAlgebra ℝ 𝕜] [inst_6 : NormedSpace 𝕜 F] (g : E → 𝕜) (f : SchwartzMap E F),
tsupport ⇑((SchwartzMap.smulLeftCLM F g) f) ⊆ tsupport ⇑f ∩ tsupport g- Cited by
- 0 results in Mathlib
- Foundations
- Depth 228 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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 · 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
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement · cited by 5,352
- NormedAlgebrastatement and proof · cited by 1,165
- zero_applyproof · cited by 251
- SchwartzMapstatement and proof · cited by 251
- tsupportstatement and proof · cited by 178
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.