Theorems · Theorem · complex analysis
continuous_circleMap
∀ (c : ℂ) (R : ℝ), Continuous (circleMap c R)
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 188 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Complexstatement and proof · cited by 5,565
- Continuousstatement · cited by 2,592
- circleMapstatement · cited by 117
- Differentiable.continuousproof · cited by 28
- differentiable_circleMapproof · cited by 4
Cited by17
Results whose statement or proof uses this declaration.
- MeromorphicOn.circleIntegrable_log_normproof · cited by 11
- ContinuousOn.circleIntegrable'proof · cited by 6
- CircleIntegrable.outproof · cited by 5
- CircleIntegrable.continuousOn_smulproof · cited by 4
- measurable_circleMapproof · cited by 3
- circleIntegrable_iffproof · cited by 2
- continuous_circleMap_invproof · cited by 2
- CircleIntegrable.continuousOn_mulproof · cited by 2
- Complex.continuousOn_norm_circleTransformBoundingFunctionproof · cited by 1
- Complex.continuousOn_prod_circle_transform_functionproof · cited by 1
- circleIntegral.norm_integral_lt_of_norm_le_const_of_ltproof · cited by 1
- Complex.continuous_circleTransformproof · cited by 1