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Theorem transaction

⊦ transaction(ndx, gndx) ↔ # gndx = # ndx ∧ (gndx = [] ∨ gndx.head.start ∧ gndx.last.end ∧ (∀ n. (0 < n ∧ n < # gndx → ¬ gndx[n].start) ∧ (n + 1 < # gndx → ¬ gndx[n].end))) ∧ (∀ n. n < # gndx → gndx[n].nd = ndx[n])