Self-similar closure forces r^2 = r + 1
A geometric scale sequence closed under additive ledger composition satisfies ledgerCompose(scale 0, scale 1) = scale 2, which simplifies directly to 1 + r = r². This is the golden constraint.
phi is the unique positive solution
The equation r² = r + 1 has unique positive root φ = (1 + √5)/2 among r > 0. phi_unique_self_similar
Cited Lean anchors
- phi_unique_self_similar establishes uniqueness of the positive solution.
- closure_forces_golden_equation derives the constraint from closure.
- phi_forcing_complete assembles the full forcing from the axioms.