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Theorems · Theorem · global analysis

ContinuousAffineMap.hasFDerivAt

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {F : Type u_3} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] (f : E →ᴬ[𝕜] F)
  {x : E}, HasFDerivAt (⇑f) f.contLinear x
Defined in
Mathlib.Analysis.Calculus.FDeriv.Affine
Cited by
2 results in Mathlib
Foundations
Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ContinuousAffineMap.differentiableAt · cited by 4ContinuousAffineMap.diffe…ContinuousAffineMap.fderiv · cited by 2ContinuousAffineMap.fderivDFunLike.coe · cited by 62936DFunLike.coeNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldHasFDerivAt · cited by 350HasFDerivAtContinuousAffineMap · cited by 263ContinuousAffineMapContinuousAffineMap.contLinear · cited by 45ContinuousAffineMap.contL…ContinuousAffineMap.hasFDerivAtFilter · cited by 3ContinuousAffineMap.hasFD…ContinuousAffineMap.hasFDeriv…CITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.