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Update Basic.lean
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Stefan Kebekus
2025-10-27 07:04:03 +01:00
parent 7a04938669
commit 9a25034577
1 changed files with 7 additions and 5 deletions
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Aristotle/Basic.lean
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@@ -4,19 +4,21 @@ open MeromorphicOn Metric Real Set Classical
variable
{𝕜 : Type*} [NontriviallyNormedField 𝕜]
{E : Type*} [NormedAddCommGroup E] [NormedSpace 𝕜 E]
{E : Type*} [NormedAddCommGroup E] [NormedSpace 𝕜 E] [CompleteSpace E]
{U : Set 𝕜} {f g : 𝕜 → E} {a : WithTop E} {a₀ : E}
/-- Derivatives of meromorphic functions are meromorphic. -/
@[fun_prop]
theorem meromorphicAt_deriv {f : 𝕜 → E} {x : 𝕜}
(h : MeromorphicAt f x) :
theorem meromorphicAt_deriv {f : 𝕜 → E} {x : 𝕜} (h : MeromorphicAt f x) :
MeromorphicAt (deriv f) x := by
unfold MeromorphicAt at *
obtain ⟨n, hn⟩ := h
use n + 1
have := hn.deriv
sorry
/-- Logarithmic derivatives of meromorphic functions are meromorphic. -/
@[fun_prop]
theorem MeromorphicAt.logDeriv {f : 𝕜 → 𝕜} {x : 𝕜}
(h : MeromorphicAt f x) :
theorem MeromorphicAt.logDeriv {f : 𝕜 → 𝕜} {x : 𝕜} (h : MeromorphicAt f x) :
MeromorphicAt (f⁻¹ * deriv f) x := by
sorry