Theorems · Theorem · global analysis
gradientWithin.congr_simp
∀ {𝕜 : Type u_1} {F : Type u_2} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup F] [inst_2 : InnerProductSpace 𝕜 F]
[inst_3 : CompleteSpace F] (f f_1 : F → 𝕜),
f = f_1 → ∀ (s s_1 : Set F), s = s_1 → ∀ (x x_1 : F), x = x_1 → gradientWithin f s x = gradientWithin f_1 s_1 x_1- Defined in
- Mathlib.Analysis.Calculus.Gradient.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setstatement and proof · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- CompleteSpacestatement and proof · cited by 2,532
- gradientWithinstatement and proof · cited by 7
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