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Proof step 14 from proof payload-split (previous step)

zbrar[m] = mkzentry(key, adr), payload(zbrar, m + 1, n0 + n1) = payload(zbrar, m + 1, n1) ⊕ payload(zbrar, (m + 1) + n1, n0), zbrar[m].entry?, m + n0 + n1 < # zbrar, m < # zbrar ⊦ # zbrar = 0, payload(zbrar, m + 1, n1 + n0)[key, adr] = payload(zbrar, m + 1, n1)[key, adr] ⊕ payload(zbrar, m + n1 + 1, n0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
zbrar[m] = mkzentry(key, adr), payload(zbrar, m + 1, n0 + n1) = payload(zbrar, m + 1, n1) ⊕ payload(zbrar, (m + 1) + n1, n0), m + n0 + n1 < # zbrar, m < # zbrar ⊦ # zbrar = 0, payload(zbrar, m + 1, n1 + n0)[key, adr] = payload(zbrar, m + 1, n1)[key, adr] ⊕ payload(zbrar, m + n1 + 1, n0)

Rule argument

Additional information

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