Theorems · Theorem · complex analysis
CircleIntegrable.congr_codiscreteWithin
∀ {E : Type u_1} [inst : NormedAddCommGroup E] {c : ℂ} {R : ℝ} {f₁ f₂ : ℂ → E},
f₁ =ᶠ[Filter.codiscreteWithin (Metric.sphere c |R|)] f₂ → CircleIntegrable f₁ c R → CircleIntegrable f₂ c RCircle integrability is invariant when functions change along discrete sets.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 249 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Set.ofPredproof · cited by 6,101
- Complexstatement and proof · cited by 5,565
- Set.preimageproof · cited by 4,946
- Filter.EventuallyEqstatement and proof · cited by 1,912
- absstatement and proof · cited by 1,814
- Real.piproof · cited by 1,774
- Metric.spherestatement and proof · cited by 371
- Set.uIocproof · cited by 182
- circleMapproof · cited by 117
- Filter.codiscreteWithinstatement and proof · cited by 87
Cited by3
Results whose statement or proof uses this declaration.
- MeromorphicOn.circleIntegrable_log_normproof · cited by 11
- ValueDistribution.circleIntegrable_log_meromorphicTrailingCoeffAtproof · cited by 2
- circleIntegrable_congr_codiscreteWithinproof · cited by 0