Theorems · Theorem · complex analysis
ValueDistribution.characteristic_monotoneOn
∀ {f : ℂ → ℂ}, Meromorphic f → MonotoneOn (ValueDistribution.characteristic f ⊤) (Set.Ioi 0)The characteristic function is monotone on (0, ∞). This result is surprisingly non-trivial, given
that the proximity function is not monotone in general.
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- Foundations
- Depth 303 from the axioms · uses propext, Classical.choice, Quot.sound
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