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

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information