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Proof step 21 from proof in-payload (previous step)

zbrar[m] = mkzentry(key0, adr), zbrar[(m + 1) + n] = mkzentry(key, adr0), zbrar[(m + 1) + n].entry?, n < nused0, m < # zbrar, m + nused0 < # zbrar ⊦ ∃ n0. ¬ nused0 < n0 ∧ zbrar[m + n0].entry? ∧ zbrar[m + n0].key = key

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
zbrar[m] = mkzentry(key0, adr), zbrar[(m + 1) + n] = mkzentry(key, adr0), n < nused0, m < # zbrar, m + nused0 < # zbrar ⊦ ∃ n0. ¬ nused0 < n0 ∧ zbrar[m + n0].entry? ∧ zbrar[m + n0].key = key

Rule argument

Additional information

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