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Proof step 34 from proof in-playload-data (previous step)

zbrar[m] = mkzentry(key, adr), zbrar[m].entry?, n + 1 < # zbrar, n < m, n + m0 < # zbrar, n < # zbrar, m < # zbrar, sorted(zbrar, 0, n + m0 + 1), adr ∈ payload(zbrar, n + 1, m0), m ≤ n + m0 ⊦ m0 = 0, zbrar[n].entry?, ∃ m1. n ≤ m1 ∧ ¬ n + m0 < m1 ∧ zbrar[m1].entry? ∧ zbrar[m1].adr = adr

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 35:
zbrar[m] = mkzentry(key, adr), n + 1 < # zbrar, n < m, n + m0 < # zbrar, n < # zbrar, m < # zbrar, sorted(zbrar, 0, n + m0 + 1), adr ∈ payload(zbrar, n + 1, m0), m ≤ n + m0 ⊦ m0 = 0, zbrar[n].entry?, ∃ m1. n ≤ m1 ∧ ¬ n + m0 < m1 ∧ zbrar[m1].entry? ∧ zbrar[m1].adr = adr

Rule argument

Additional information

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