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Proof step 56 from proof payload-shift-left (previous step)

zbrar[n] = mkzentry(key, adr), zbrar[n0 + 1] = mkzentry(key0, adr0), n + 1 < # zbrar, n < nused, n0 < # zbrar, nused < # zbrar, n < # zbrar, n0 < nused, n0 + 1 < # zbrar, sorted(zbrar, 0, nused + 1), n ≤ n0 ⊦ key0 = key, key0 ≠ key ∧ (∃ n1. ¬ nused < n1 ∧ zbrar[n1].entry? ∧ zbrar[n1].key = key0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 57:
zbrar[n0 + 1] = mkzentry(key0, adr0), zbrar[n] = mkzentry(key, adr), n0 + 1 < # zbrar, n0 < nused, n < # zbrar, nused < # zbrar, n0 < # zbrar, n < nused, n + 1 < # zbrar, sorted(zbrar, 0, nused + 1), n ≤ n0 ⊦ key0 = key, ∃ n1. ¬ nused < n1 ∧ zbrar[n1].entry? ∧ zbrar[n1].key = key0

Proof step 56 from proof payload-shift-left (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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