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Proof step 7 from proof in-keyrange-in-ri-data (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
adr ∈ (nused = 1 ⊃ ri;ri |≤ zbrar[0].key), nused ≤ # zbrar ⊦ # zbrar = 0, nused = 0, adr ∈ ri

Rule argument

Additional information

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