Theorems · Theorem · functional analysis
TemperedDistribution.smulLeftCLM_const
∀ {E : Type u_3} {F : Type u_4} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : AddCommGroup F]
[inst_3 : Module ℂ F] [inst_4 : TopologicalSpace F] [inst_5 : IsTopologicalAddGroup F]
[inst_6 : ContinuousConstSMul ℂ F] (c : ℂ) (f : TemperedDistribution E F),
(TemperedDistribution.smulLeftCLM F fun x => c) f = c • f- 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.
Cites25
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
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- AddCommGroupstatement and proof · cited by 12,871
- 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
Cited by2
Results whose statement or proof uses this declaration.
- TemperedDistribution.MemSobolev.fourier_memL1proof · cited by 0
- TemperedDistribution.memSobolev_zero_iff_exists_fourierproof · cited by 0