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Proof step 33 from proof in-payload (previous step)

zbrar[(m + 1) + n] = mkzentry(key, adr), zbrar[(m + 1) + n].entry?, m + nused0 < # zbrar, m < # zbrar, n < nused0, key ∈ payload(zbrar, m + 1, nused0) ⊦ zbrar[m].entry?, ∃ 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 34:
zbrar[(m + 1) + n] = mkzentry(key, adr), m + nused0 < # zbrar, m < # zbrar, n < nused0, key ∈ payload(zbrar, m + 1, nused0) ⊦ zbrar[m].entry?, ∃ n0. ¬ nused0 < n0 ∧ zbrar[m + n0].entry? ∧ zbrar[m + n0].key = key

Rule argument

Additional information

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