Theorems · Theorem · functional analysis

ContinuousAlternatingMap.alternatizeUncurryFin_constOfIsEmptyLIE_comp

∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] (f : E →L[𝕜] F),
  ContinuousAlternatingMap.alternatizeUncurryFin (↑↑(ContinuousAlternatingMap.constOfIsEmptyLIE 𝕜 E F (Fin 0)) ∘SL f) =
    (ContinuousAlternatingMap.ofSubsingleton 𝕜 E F 0) f

Defined in

Mathlib.Analysis.Normed.Module.Alternating.Uncurry.Fin

Cited by

1 results in Mathlib

Foundations

Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace