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Proof step 123 from proof payload-shift-left (previous step)

zbrar[n0] = mkzentry(key, adr), zbrar[n0].entry?, n0 < # zbrar, nused < # zbrar, n < # zbrar, sorted(zbrar, 0, nused + 1), n0 ≤ nused, n ≤ nused ⊦ zbrar[n].entry?, ∃ n1. n1 < nused ∧ (n1 < n ⊃ zbrar[n1];zbrar[n1 + 1]).entry? ∧ (n1 < n ⊃ zbrar[n1];zbrar[n1 + 1]).key = key

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 124:
zbrar[n0] = mkzentry(key, adr), n0 < # zbrar, nused < # zbrar, n < # zbrar, sorted(zbrar, 0, nused + 1), n0 ≤ nused, n ≤ nused ⊦ zbrar[n].entry?, ∃ n1. n1 < nused ∧ (n1 < n ⊃ zbrar[n1];zbrar[n1 + 1]).entry? ∧ (n1 < n ⊃ zbrar[n1];zbrar[n1 + 1]).key = key

Rule argument

Additional information

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