Statements of the four Introduction theorems (statement level)

The propositions PoissonApproximationStatement (Theorem 1.1), PoissonApproximation2Statement (Theorem 1.2), MaxStringStatement (Theorem 1.3) and MaxLeafHeightStatement (Theorem 1.4), with their auxiliary definitions cB, tStar, tStarStar, twoPointSet, TwoPointLocalization and LatticeGumbel, are defined in PoissonDeclumping.Statements.Defs, which originate in the upstream statement contract. The phase refinement is strengthened here to nontrivial filters of admissible sizes. They are propositions, not theorems; PoissonDeclumping.MainTheorems proves them. This module re-exports them under its historical name.

All limits run along admissible sizes through admissibleSizes μ. Periodic offspring laws are included (no aperiodicity hypothesis).