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Theorem transaction-prefix

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