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Proof step 8 from proof range (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
n < nused, n < # zbrar, nused ≤ # zbrar ⊦ key-range(zbrar, n, nused, ri) = (n + 1 = nused ⊃ ri |> zbrar[n - 1].key;(ri |> zbrar[n - 1].key) |≤ zbrar[n].key), n = 0

Proof step 8 from proof range (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information