Theorems · Theorem · real analysis
ContinuousLinearMap.hasDerivAt
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {F : Type v} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] {x : 𝕜} (e : 𝕜 →L[𝕜] F), HasDerivAt (⇑e) (e 1) x- 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.
Cites8
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
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement and proof · cited by 5,352
- HasDerivAtstatement · cited by 493
- ContinuousLinearMap.hasDerivAtFilterproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- HasDerivAt.comp_ofRealproof · cited by 11
- HasDerivAt.ofReal_compproof · cited by 3
- hasDerivAt_circleMapproof · cited by 3
- ContinuousLinearMap.derivproof · cited by 0