Theorems · Theorem · complex analysis
meromorphicTrailingCoeffAt_const
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {x e : 𝕜}, meromorphicTrailingCoeffAt (fun x => e) x = eThe trailing coefficient of a constant function is the constant.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 204 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.
Cites9
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
- Filter.Eventuallyproof · cited by 3,134
- Compl.complproof · cited by 2,925
- nhdsWithinproof · cited by 1,912
- analyticAt_constproof · cited by 70
- meromorphicTrailingCoeffAtstatement and proof · cited by 61
- meromorphicOrderAt_eq_top_iffproof · cited by 20
- MeromorphicAt.meromorphicTrailingCoeffAt_of_order_eq_topproof · cited by 11
- AnalyticAt.meromorphicTrailingCoeffAt_of_ne_zeroproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- meromorphicTrailingCoeffAt_prodproof · cited by 3