Theorems · Theorem · functional analysis
ContinuousAlternatingMap.hasStrictFDerivAt
∀ {𝕜 : Type u_1} {ι : Type u_2} {E : Type u_3} {F : Type u_4} [inst : NontriviallyNormedField 𝕜]
[inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F]
[inst_5 : Fintype ι] [inst_6 : DecidableEq ι] (f : E [⋀^ι]→L[𝕜] F) (x : ι → E),
HasStrictFDerivAt (⇑f) (f.linearDeriv x) x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 188 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.coestatement · 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
- Fintypestatement and proof · cited by 7,736
- ContinuousAlternatingMapstatement and proof · cited by 292
- HasStrictFDerivAtstatement · cited by 261
- ContinuousAlternatingMap.toContinuousMultilinearMapstatement and proof · cited by 72
- ContinuousMultilinearMap.linearDerivstatement · cited by 13
- ContinuousMultilinearMap.hasStrictFDerivAtproof · cited by 4
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