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Proof step 9 from proof at-range (previous step)

nused = nused0 +1, key ∈ key-range(zbrar, 0, nused, ri), nused ≤ # zbrar ⊦ # zbrar = 0, key-range(zbrar, 0, nused, ri)[key] = ri[key], nused = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)% ⊦ m + 1 ≤ n ↔ m < n; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m + 1 ≠ 0; (s)% ⊦ m +1 = m + 1; (s)