Iterator ladder

Once progression depth exists, addition is recovered as the finite fold of ρ on the τ-index scaffold. The higher ladder then folds successively: multiplication is iterated addition, exponentiation is iterated multiplication, and tetration is iterated exponentiation. Thus raw ρ underlies the four concrete address levels +, ×, exponentiation, and tetration, which saturate at tetration. Algebra enters as disciplined recursion over generated symbolic depth. The inspection question is whether this ladder truly derives the operations from ρ, or whether ordinary arithmetic re-enters through the external recursion language.