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Proof step 68 from proof payload-shift-left (previous step)

zbrar[n2 + 1] = mkzentry(key0, adr0), zbrar[n] = mkzentry(key, adr), n2 < # zbrar, n2 + 1 < # zbrar, n2 < nused, n < # zbrar, nused < # zbrar, sorted(zbrar, 0, nused + 1), n ≤ nused, n ≤ n2 + 1 ⊦ key0 = key, n2 < nused ∧ (n2 < n ⊃ zbrar[n2];zbrar[n2 + 1]).entry? ∧ (n2 < n ⊃ zbrar[n2];zbrar[n2 + 1]).key = key0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 69:
zbrar[n] = mkzentry(key, adr), zbrar[n2 + 1] = mkzentry(key0, adr0), nused < # zbrar, n < # zbrar, n2 < nused, n2 + 1 < # zbrar, n2 < # zbrar, sorted(zbrar, 0, nused + 1), n ≤ n2 + 1, n ≤ nused ⊦ key0 = key, (n2 < n ⊃ zbrar[n2];mkzentry(key0, adr0)).entry? ∧ (n2 < n ⊃ zbrar[n2];mkzentry(key0, adr0)).key = key0

Proof step 68 from proof payload-shift-left (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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