1. Self-similar closure forces r^2 = r + 1
In a geometric scale sequence closed under additive ledger composition, the condition ledgerCompose (scale 0) (scale 1) = scale 2 directly yields r² = r + 1 upon unfolding the definitions of scale and ledgerCompose.
2. phi is the unique positive solution
The quadratic r² = r + 1 has exactly two real roots; positivity of r selects the unique solution φ = (1 + √5)/2.
3. Cited Lean anchors
The forcing is established by the self-similarity axioms in PhiForcingDerived together with uniqueness in the discrete ledger setting.