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This commit is contained in:
Stefan Kebekus 2024-11-19 08:45:20 +01:00
parent c5dc9ea786
commit 226609f9c0
2 changed files with 14 additions and 3 deletions
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3
Nevanlinna/meromorphicAt.lean
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@ -145,3 +145,6 @@ theorem MeromorphicAt.order_mul
· constructor · constructor
· exact IsOpen.inter h₂t₁ h₂t₂ · exact IsOpen.inter h₂t₁ h₂t₂
· exact Set.mem_inter h₃t₁ h₃t₂ · exact Set.mem_inter h₃t₁ h₃t₂
-- might want theorem MeromorphicAt.order_zpow

14
Nevanlinna/stronglyMeromorphicOn_eliminate.lean
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@ -30,9 +30,17 @@ theorem MeromorphicOn.decompose₁
apply AnalyticOnNhd.sub apply AnalyticOnNhd.sub
exact analyticOnNhd_id exact analyticOnNhd_id
exact analyticOnNhd_const exact analyticOnNhd_const
have h₂h₁ : (h₁h₁ z₀ hz₀).order = -h₁f.divisor z₀ := by let n : ℤ := (-h₁f.divisor z₀)
have h₂h₁ : (h₁h₁ z₀ hz₀).order = n := by
sorry simp_rw [(h₁h₁ z₀ hz₀).order_eq_int_iff]
use 1
constructor
· apply analyticAt_const
· constructor
· simp
· apply eventually_nhdsWithin_of_forall
intro z hz
simp
let g₁ := f * h₁ let g₁ := f * h₁
have h₁g₁ : MeromorphicOn g₁ U := by have h₁g₁ : MeromorphicOn g₁ U := by