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Proof step 7 from proof payload-keys (previous step)

zbrar[n + n0] = mkzentry(key, adr), zbrar[n + n0].entry?, n0 < nused, n + nused ≤ # zbrar, nused + n ≤ # zbrar ⊦ key ∈ keys(zbrar, n, nused)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
zbrar[n + n0] = mkzentry(key, adr), n0 < nused, n + nused ≤ # zbrar, nused + n ≤ # zbrar ⊦ key ∈ keys(zbrar, n, nused)

Rule argument

Additional information

Used simplifier rules: ⊦ mkzentry(key, adr).entry?; (s)