Theorems · Theorem · real analysis
LinearMap.hasDerivAtFilter
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {F : Type v} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] {L : Filter (𝕜 × 𝕜)} (e : 𝕜 →ₗ[𝕜] F), HasDerivAtFilter (⇑e) (e 1) L- Defined in
- Mathlib.Analysis.Calculus.Deriv.Linear
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- LinearMapstatement and proof · cited by 10,215
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Filterstatement and proof · cited by 8,121
- HasDerivAtFilterstatement · cited by 63
- ContinuousLinearMap.hasDerivAtFilterproof · cited by 4
- LinearMap.toContinuousLinearMap₁proof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- AffineMap.hasDerivAtFilterproof · cited by 3
- LinearMap.hasDerivAtproof · cited by 2
- LinearMap.hasDerivWithinAtproof · cited by 1
- LinearMap.hasStrictDerivAtproof · cited by 0