Theorems · Theorem · complex analysis
Nat.cast_analyticOrderNatAt
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {f : 𝕜 → E} {z₀ : 𝕜},
analyticOrderAt f z₀ ≠ ⊤ → ↑(analyticOrderNatAt f z₀) = analyticOrderAt f z₀- Defined in
- Mathlib.Analysis.Analytic.Order
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 196 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.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Top.topstatement and proof · cited by 9,680
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ENatstatement · cited by 4,985
- analyticOrderAtstatement and proof · cited by 69
- ENat.natCast_toNatproof · cited by 11
- analyticOrderNatAtstatement · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- analyticOrderAt_smulproof · cited by 1
- AnalyticAt.analyticOrderNatAt_eq_iffproof · cited by 0