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Proof step 5 from proof keep-range (previous step)

zbr.key = zbrar[m].key, n < nused, m < # zbrar, n < # zbrar, nused ≤ # zbrar ⊦ key-range(zbrar[m, zbr], n, nused, ri) = key-range(zbrar, n, nused, ri), n ≠ 0 ∧ n + 1 < nused ∧ nused ≤ # zbrar[m, zbr]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
zbr.key = zbrar[m].key, n < # zbrar, m < # zbrar, n < nused, nused ≤ # zbrar ⊦ key-range(zbrar[m, zbr], n, nused, ri) = key-range(zbrar, n, nused, ri), n ≠ 0 ∧ n + 1 < nused

Rule argument

Additional information

Used simplifier rules: ⊦ # zbrar[n, zbr] = # zbrar; (s)