Theorems · Theorem · real analysis
isSymmSndFDerivWithinAt_univ
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} {F : Type u_3} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {f : E → F} {x : E},
IsSymmSndFDerivWithinAt 𝕜 f Set.univ x ↔ IsSymmSndFDerivAt 𝕜 f x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Set.univstatement and proof · cited by 3,945
- fderivproof · cited by 398
- fderivWithinproof · cited by 357
- fderivWithin_univproof · cited by 29
- IsSymmSndFDerivWithinAtstatement · cited by 16
- IsSymmSndFDerivAtstatement · cited by 10
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