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Theorems · Theorem · global analysis

gradient_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) (c : 𝕜), gradient (Function.const F c) x = 0
Defined in
Mathlib.Analysis.Calculus.Gradient.Basic
Cited by
1 results in Mathlib
Foundations
Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RCLikeNormedAddCommGroupInnerProductSpaceCompleteSpace
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Around this declaration

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gradient_fun_const' · cited by 1gradient_fun_const'NormedAddCommGroup · cited by 15752NormedAddCommGroupInnerProductSpace · cited by 3523InnerProductSpaceRCLike · cited by 2829RCLikeCompleteSpace · cited by 2532CompleteSpacegradient · cited by 19gradientgradient_fun_const · cited by 1gradient_fun_constgradient_constCITED BYCITES

Cites6

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Cited by1

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