Theorems · Theorem · complex analysis
ContinuousLinearEquiv.analyticAt
∀ {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 ≃L[𝕜] F)
(x : E), AnalyticAt 𝕜 (⇑f) x- Defined in
- Mathlib.Analysis.Analytic.Linear
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 185 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
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearEquivstatement and proof · cited by 743
- ContinuousLinearEquiv.toContinuousLinearMapproof · cited by 448
- AnalyticAtstatement · cited by 321
- HasFPowerSeriesAt.analyticAtproof · cited by 11
- ContinuousLinearMap.hasFPowerSeriesAtproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousLinearEquiv.analyticWithinAtproof · cited by 1
- ContinuousLinearEquiv.analyticOnNhdproof · cited by 0