Theorems · Theorem · real analysis
AffineMap.hasDerivAtFilter
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] (f : 𝕜 →ᵃ[𝕜] E) {L : Filter (𝕜 × 𝕜)}, HasDerivAtFilter (⇑f) (f.linear 1) L- Cited by
- 3 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- LinearMapstatement · cited by 10,215
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Filterstatement and proof · cited by 8,121
- AffineMapstatement and proof · cited by 674
- AffineMap.linearstatement and proof · cited by 105
- HasDerivAtFilterstatement and proof · cited by 63
- LinearMap.hasDerivAtFilterproof · cited by 4
- AffineMap.decompproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- AffineMap.hasDerivAtproof · cited by 2
- AffineMap.hasStrictDerivAtproof · cited by 1
- AffineMap.hasDerivWithinAtproof · cited by 1