Theorems · Theorem · functional analysis
ContinuousMultilinearMap.smulRightL_apply
∀ {𝕜 : Type u} {ι : Type v} {E : ι → Type wE} {G : Type wG} [inst : NontriviallyNormedField 𝕜]
[inst_1 : (i : ι) → SeminormedAddCommGroup (E i)] [inst_2 : (i : ι) → NormedSpace 𝕜 (E i)]
[inst_3 : SeminormedAddCommGroup G] [inst_4 : NormedSpace 𝕜 G] [inst_5 : Fintype ι]
(f : ContinuousMultilinearMap 𝕜 E 𝕜) (z : G), ((ContinuousMultilinearMap.smulRightL 𝕜 E G) f) z = f.smulRight z- Cited by
- 0 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Fintypestatement and proof · cited by 7,736
- ContinuousLinearMapstatement · cited by 5,352
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- ContinuousMultilinearMapstatement and proof · cited by 1,016
- ContinuousMultilinearMap.smulRightstatement · cited by 10
- ContinuousMultilinearMap.smulRightLstatement · cited by 8
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.