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Proof step 2 from proof keep-sorted (previous step)

zbr.key = zbrar[n0].key, n0 < # zbrar ⊦ sorted(zbrar[n0, zbr], n, m) ↔ sorted(zbrar, n, m)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
zbr.key = zbrar[n0].key, n0 < # zbrar ⊦ sorted(zbrar[n0, zbr], n, m) ↔ sorted(zbrar, n, m)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic