Theorems · Theorem · global analysis
hasGradientAt_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), HasGradientAt (fun x => c) 0 x- Defined in
- Mathlib.Analysis.Calculus.Gradient.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- nhdsproof · cited by 5,554
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- CompleteSpacestatement and proof · cited by 2,532
- HasGradientAtstatement · cited by 24
- hasGradientAtFilter_constproof · cited by 2
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