Theorems · Theorem · operator theory
LinearMap.IsSymmetric.hasStrictFDerivAt_reApplyInnerSelf
∀ {F : Type u_3} [inst : NormedAddCommGroup F] [inst_1 : InnerProductSpace ℝ F] {T : F →L[ℝ] F},
(↑T).IsSymmetric → ∀ (x₀ : F), HasStrictFDerivAt T.reApplyInnerSelf (2 • (innerSL ℝ) (T x₀)) x₀- Cited by
- 1 results in Mathlib
- Foundations
- Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites34
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- NormedAddCommGroupstatement and proof · cited by 15,752
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- NontriviallyNormedFieldproof · cited by 8,742
- ContinuousLinearMapstatement and proof · cited by 5,352
- InnerProductSpacestatement and proof · cited by 3,523
- Inner.innerproof · cited by 1,089
- ContinuousLinearMap.compproof · cited by 709
Cited by1
Results whose statement or proof uses this declaration.
- IsSelfAdjoint.linearly_dependent_of_isLocalExtrOnproof · cited by 1