Theorems · Theorem · global analysis

hasGradientAtFilter_const

∀ {𝕜 : Type u_1} {F : Type u_2} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup F] [inst_2 : InnerProductSpace 𝕜 F]
  [inst_3 : CompleteSpace F] (x : F) (L : Filter F) (c : 𝕜), HasGradientAtFilter (fun x => c) 0 x L

Defined in

Mathlib.Analysis.Calculus.Gradient.Basic

Cited by

2 results in Mathlib

Foundations

Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupInnerProductSpaceCompleteSpace