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Proof step 17 from proof payload-copy-right-upper (previous step)

zbrar[n0] = mkzentry(key, adr), zbrar[n0].entry?, n0 < # zbrar, n0 + 1 < # zbrar, n0 + nused0 + 1 < # zbrar, ∀ n, zbrar. n + nused0 < # zbrar → payload(copy(zbrar, n, zbrar, n + 1, nused0), n + 1, nused0) = payload(zbrar, n, nused0) ⊦ payload(copy(zbrar, n0 + 1, zbrar, 2 + n0, nused0)[n0 + 1, zbrar[n0]], 2 + n0, nused0)[key, adr] = payload(zbrar, n0 + 1, nused0)[key, adr]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
zbrar[n0] = mkzentry(key, adr), n0 < # zbrar, n0 + 1 < # zbrar, n0 + nused0 + 1 < # zbrar, ∀ n, zbrar. n + nused0 < # zbrar → payload(copy(zbrar, n, zbrar, n + 1, nused0), n + 1, nused0) = payload(zbrar, n, nused0) ⊦ payload(copy(zbrar, n0 + 1, zbrar, 2 + n0, nused0)[n0 + 1, mkzentry(key, adr)], 2 + n0, nused0)[key, adr] = payload(zbrar, n0 + 1, nused0)[key, adr]

Rule argument

Additional information

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