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Proof step 10 from proof payload-keys (previous step)

zbrar[n + n0] = mkzentry(key, adr), n0 < nused, nused + n ≤ # zbrar, n + nused ≤ # zbrar ⊦ ∃ n0. n0 < nused ∧ zbrar[n + n0].key = key

User applied rule exists right

And closed the goal!

Rule argument

pos: right 1 terms: n0 abort: F discard: F computed: T

Additional information

Used simplifier rules: ⊦ mkzentry(key, adr).key = key; (s) Used terms: n0