Theorems · Theorem · global analysis
ContinuousAffineMap.hasFDerivAtFilter
∀ {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)
{L : Filter (E × E)}, HasFDerivAtFilter (⇑f) f.contLinear L- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Affine
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- Filterstatement and proof · cited by 8,121
- sub_selfproof · cited by 996
- map_subproof · cited by 565
- ContinuousAffineMapstatement and proof · cited by 263
- AffineMap.linearproof · cited by 105
- HasFDerivAtFilterstatement · cited by 81
- ContinuousAffineMap.contLinearstatement · cited by 45
- ContinuousAffineMap.toAffineMapproof · cited by 28
Cited by3
Results whose statement or proof uses this declaration.
- ContinuousAffineMap.hasFDerivAtproof · cited by 2
- ContinuousAffineMap.hasFDerivWithinAtproof · cited by 1
- ContinuousAffineMap.hasStrictFDerivAtproof · cited by 0