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Proof step 45 from proof payload-shift-left (previous step)

zbrar[n] = mkzentry(key, adr), n < # zbrar, nused < # zbrar, sorted(zbrar, 0, nused + 1), n ≤ nused ⊦ (∃ n0. n0 < nused ∧ (n0 < n ⊃ zbrar[n0];zbrar[n0 + 1]).entry? ∧ (n0 < n ⊃ zbrar[n0];zbrar[n0 + 1]).key = key0) ↔ key0 ≠ key ∧ (∃ n0. ¬ nused < n0 ∧ zbrar[n0].entry? ∧ zbrar[n0].key = key0)

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: right 1

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