Theorems · Theorem · functional analysis

ContinuousAlternatingMap.curryLeft_compContinuousAlternatingMap

∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} {G : Type u_4} [inst : NontriviallyNormedField 𝕜]
  [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F]
  [inst_5 : NormedAddCommGroup G] [inst_6 : NormedSpace 𝕜 G] {n : ℕ} (g : F →L[𝕜] G) (f : E [⋀^Fin (n + 1)]→L[𝕜] F)
  (x : E), (g.compContinuousAlternatingMap f).curryLeft x = g.compContinuousAlternatingMap (f.curryLeft x)

Defined in

Mathlib.Analysis.Normed.Module.Alternating.Curry

Cited by

0 results in Mathlib

Foundations

Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace