Theorems · Theorem · functional analysis
ContinuousMultilinearMap.uncurry_curryLeft
∀ {𝕜 : Type u} {n : ℕ} {Ei : Fin n.succ → Type wEi} {G : Type wG} [inst : NontriviallyNormedField 𝕜]
[inst_1 : (i : Fin n.succ) → NormedAddCommGroup (Ei i)] [inst_2 : (i : Fin n.succ) → NormedSpace 𝕜 (Ei i)]
[inst_3 : NormedAddCommGroup G] [inst_4 : NormedSpace 𝕜 G] (f : ContinuousMultilinearMap 𝕜 Ei G),
f.curryLeft.uncurryLeft = f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousMultilinearMapstatement and proof · cited by 1,016
- ContinuousMultilinearMap.toMultilinearMapproof · cited by 70
- ContinuousMultilinearMap.curryLeftstatement and proof · cited by 27
- ContinuousLinearMap.uncurryLeftstatement and proof · cited by 7
- ContinuousMultilinearMap.toMultilinearMap_injectiveproof · cited by 5
- MultilinearMap.uncurry_curryLeftproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- continuousMultilinearCurryLeftEquivproof · cited by 32
- HasFTaylorSeriesUpToOn.eq_iteratedFDerivWithin_of_uniqueDiffOnproof · cited by 8