Theorems · Theorem · complex analysis
analyticOrderAt_centeredMonomial
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {z₀ : 𝕜} {n : ℕ}, analyticOrderAt ((fun x => x - z₀) ^ n) z₀ = ↑nSimplifier lemma for the order of a centered monomial
- Defined in
- Mathlib.Analysis.Analytic.Order
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NontriviallyNormedField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- nhdsproof · cited by 5,554
- ENatstatement · cited by 4,985
- mul_oneproof · cited by 3,885
- Filter.Eventuallyproof · cited by 3,134
- analyticAt_constproof · cited by 70
- analyticOrderAtstatement · cited by 69
- analyticAt_idproof · cited by 39
- AnalyticAt.fun_subproof · cited by 29
- AnalyticAt.analyticOrderAt_eq_natCastproof · cited by 15
- AnalyticAt.powproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- analyticOrderAt_id_sub_const_selfproof · cited by 2