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Proof step 4 from proof range (previous step)

n = 0, n < # zbrar, n < nused, nused ≤ # zbrar ⊦ key-range(zbrar, n, nused, ri) = (nused = 1 ⊃ ri;ri |≤ zbrar[0].key)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
nused ≤ # zbrar ⊦ # zbrar = 0, key-range(zbrar, 0, nused, ri) = (nused = 1 ⊃ ri;ri |≤ zbrar[0].key), nused = 0

Rule argument

Additional information

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