Theorems · Theorem · complex analysis
circleMap_sub_center
∀ (c : ℂ) (R θ : ℝ), circleMap c R θ - c = circleMap 0 R θ
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- zero_addproof · cited by 2,366
- Complex.ofRealproof · cited by 1,654
- Complex.Iproof · cited by 866
- Complex.expproof · cited by 612
- add_sub_cancel_leftproof · cited by 198
- circleMapstatement · cited by 117
Cited by12
Results whose statement or proof uses this declaration.
- circleMap_mem_sphere'proof · cited by 14
- MeromorphicOn.circleIntegrable_log_normproof · cited by 11
- Real.circleAverage_monoproof · cited by 3
- Real.ContinuousOn.circleAverageproof · cited by 2
- circleIntegral.integral_sub_center_invproof · cited by 2
- hasSum_two_pi_I_cauchyPowerSeries_integralproof · cited by 2
- norm_cauchyPowerSeries_leproof · cited by 1
- circleMap_notMem_ballproof · cited by 1
- Real.circleAverage_eq_circleIntegralproof · cited by 1
- TendstoUniformlyOn.tendsto_circleIntegral_of_continuousOnproof · cited by 0
- conj_circleMapproof · cited by 0