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Theorem precedesex-rec1

⊦ precedes∃(ix0 ' + ix1 ' + ixs, x) ↔ precedes∃(ix1 ' + ixs, x) ∧ (∀ n1. n1 ∈ ix1 → (∃ n0. n0 ∈ ix0 ∧ precedes(n0, n1, x)))