Theorems · Theorem · complex analysis
ValueDistribution.proximity_inv
∀ {f : ℂ → ℂ}, ValueDistribution.proximity f⁻¹ ⊤ = ValueDistribution.proximity f 0For complex-valued f, establish a simple relation between the proximity functions of f and of
f⁻¹.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 254 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Top.topstatement · cited by 9,680
- Complexstatement and proof · cited by 5,565
- Norm.normproof · cited by 5,413
- WithTopstatement · cited by 3,754
- norm_invproof · cited by 126
- Real.circleAverageproof · cited by 106
- Real.posLogproof · cited by 61
- ValueDistribution.proximitystatement · cited by 28
- ValueDistribution.proximity_topproof · cited by 3
- ValueDistribution.proximity_zeroproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- ValueDistribution.proximity_mul_zero_leproof · cited by 1
- ValueDistribution.proximity_pow_zeroproof · cited by 1