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Proof step 7 from proof keep-range (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
zbr.key = zbrar[m].key, m < # zbrar, nused ≤ # zbrar ⊦ key-range(zbrar[m, zbr], 0, nused, ri) = key-range(zbrar, 0, nused, ri), nused = 0

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)% ⊦ 0 < m ↔ m ≠ 0; (s)