The inductive permutation-sum estimate #
This module closes Proposition 5.9. At a lowest eligible branch, the raw
word sum is partitioned by active collapse shape. The valid-word Fubini
bound and the two analytic calls control each shape, while the composition
count is absorbed by the 2^n factor in the fixed-shape scalar ledger.
Strong induction on tree size then closes the theorem.
theorem
Anderson4D.eligibleCollapseStep
{C0 D : ℝ}
(hsingle : SingleScaleEstimate C0)
(hD : D = Real.exp (C0 ^ 10))
:
EligibleCollapseStep C0 D
The local eligible-branch step used by the strong-induction shell.
Proposition 5.9 / (5.32)--(5.33).