Update Basic.lean
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Stefan Kebekus committed 2025-12-13 07:15:12 +01:00
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import Mathlib
variable
{E : Type*} [NormedAddCommGroup E] [NormedSpace ℂ E]
lemma MeromorphicAt.comp {x : ℝ} {f : ℂ → E} {g : ℝ → ℂ}
(hf : MeromorphicAt f (g x)) (hg : AnalyticAt ℝ g x) : MeromorphicAt (f ∘ g) x := by
theorem intervalIntegrable_iff_intervalIntegrable_smul
{E : Type*} [NormedAddCommGroup E]
{a b : ℝ} {μ : MeasureTheory.Measure ℝ}
{R : Type*} [NormedAddCommGroup R] [SMulZeroClass R E] [IsBoundedSMul R E]
{f : ℝ → E} {r : R} (hr : r ≠ 0) :
IntervalIntegrable f μ a b ↔ IntervalIntegrable (r • f) μ a b := by
sorry
theorem IntervalIntegrable.abs'
{a b : ℝ} {μ : MeasureTheory.Measure ℝ} {f : ℝ → ℝ} (hf : Measurable f) :
IntervalIntegrable f μ a b ↔ IntervalIntegrable (fun x => |f x|) μ a b := by
sorry