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Proof step 1 from proof at-payload (conclusion)

m + nused ≤ # zbrar, n < nused, zbrar[m + n] = mkzentry(key, adr), ∀ n0. n0 < n ∧ zbrar[m + n0].entry? → zbrar[m + n0].key ≠ key ⊦ payload(zbrar, m, nused)[key] = adr

System applied rule normalize

And obtained the following new goals

Proof step 2:
zbrar[m + n] = mkzentry(key, adr), n < nused, m + nused ≤ # zbrar, ∀ n0. n0 < n ∧ zbrar[m + n0].entry? → zbrar[m + n0].key ≠ key ⊦ payload(zbrar, m, nused)[key] = adr

Proof step 1 from proof at-payload (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information