prove2me-logs: the zero count closes, and Gel'fond's criterion with it

The Sep 15 entries in prove2me-logs pick the Diaz mission up where the previous posting left it — the zero count split, with a hole in its source — and carry it to the end of the branch. Every FourExp leaf was given a reduction rather than a citation (e14a87b), the transcendence criterion was written out as a Lean argument (75ed372), and two of the classical leaves were proved from what Mathlib already has: Gel’fond’s height bound for a divisor, which is the Mahler-measure file plus the last inequality, and the resultant step that Mathlib reaches through the Bézout identity but has to finish with the Leibniz expansion instead of Hadamard (bed556a).

The remaining zeros in the count then closed in order: the Cauchy estimate with zeros (7914918), the radius choice itself (634590c), and the count (6f39126) — after which Gel’fond’s lemma, the last open lemma under the criterion, was proved and the criterion with it (8abaa43), leaving the 1973 construction as the branch’s remaining frontier. The entries carry the statements, the platform node each one closed, and — as the journal’s format requires — what is not proved nearly as loudly as what is.