Theorems · Theorem · functional analysis

ContinuousMultilinearMap.fin0_apply_norm

∀ {𝕜 : Type u} {G : Type wG} {G' : Type wG'} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup G]
  [inst_2 : NormedSpace 𝕜 G] [inst_3 : NormedAddCommGroup G'] [inst_4 : NormedSpace 𝕜 G'] (f : G [×0]→L[𝕜] G')
  {x : Fin 0 → G}, ‖f x‖ = ‖f‖

Defined in

Mathlib.Analysis.Normed.Module.Multilinear.Curry

Cited by

3 results in Mathlib

Foundations

Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace