Theorems · Theorem · complex analysis
Complex.continuousOn_prod_circle_transform_function
∀ {R r : ℝ},
r < R → ∀ {z : ℂ}, ContinuousOn (fun w => (circleMap z R w.2 - w.1)⁻¹ ^ 2) (Metric.closedBall z r ×ˢ Set.univ)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 189 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Set.univstatement and proof · cited by 3,945
- SProd.sprodstatement and proof · cited by 1,750
- ContinuousOnstatement and proof · cited by 1,411
- Metric.ballproof · cited by 735
- Metric.closedBallstatement and proof · cited by 704
- sub_ne_zeroproof · cited by 119
- circleMapstatement and proof · cited by 117
- continuousOn_constproof · cited by 96
- Continuous.comp_continuousOnproof · cited by 52
Cited by1
Results whose statement or proof uses this declaration.
- Complex.continuousOn_norm_circleTransformBoundingFunctionproof · cited by 1