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Proof step 34 from proof in-payload (previous step)

zbrar[(m + 1) + n] = mkzentry(key, adr), m + nused0 < # zbrar, m < # zbrar, n < nused0, key ∈ payload(zbrar, m + 1, nused0) ⊦ zbrar[m].entry?, ∃ n0. ¬ nused0 < n0 ∧ zbrar[m + n0].entry? ∧ zbrar[m + n0].key = key

User applied rule exists right

And closed the goal!

Rule argument

pos: right 2 terms: n + 1 abort: F discard: F computed: F

Additional information

Used simplifier rules: ⊦ m < n + 1 ↔ ¬ n < m; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ mkzentry(key, adr).entry?; (s)% ⊦ mkzentry(key, adr).key = key; (s) Used terms: n + 1