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Proof step 37 from proof in-payload (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 38:
zbrar[m + n] = mkzentry(key, adr), m < # zbrar, m + nused0 < # zbrar, n ≤ nused0 ⊦ zbrar[m].entry?, key ∈ payload(zbrar, m + 1, nused0), ∃ n0. n0 < nused0 ∧ zbrar[(m + 1) + n0].entry? ∧ zbrar[(m + 1) + n0].key = key

Rule argument

Additional information

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