Theorems · Theorem · complex analysis
circleMap_preimage_codiscrete
∀ {c : ℂ} {R : ℝ},
R ≠ 0 → Filter.map (circleMap c R) (Filter.codiscrete ℝ) ≤ Filter.codiscreteWithin (Metric.sphere c |R|)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Filterstatement · cited by 8,121
- Complexstatement and proof · cited by 5,565
- nhdsproof · cited by 5,554
- Set.univproof · cited by 3,945
- Filter.EventuallyEqproof · cited by 1,912
- absstatement and proof · cited by 1,814
- Filter.mapstatement · cited by 819
- derivproof · cited by 676
- Metric.spherestatement and proof · cited by 371
- Set.image_univproof · cited by 322
Cited by3
Results whose statement or proof uses this declaration.
- Real.circleAverage_congr_codiscreteWithinproof · cited by 4
- CircleIntegrable.congr_codiscreteWithinproof · cited by 3
- circleIntegral.circleIntegral_congr_codiscreteWithinproof · cited by 0