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Proof step 23 from proof at-payload (previous step)

zbrar[m + n1 + 1] = mkzentry(key0, payload(zbrar, m + 1, nused0)[key0]), zbrar[m] = mkzentry(key0, adr), n1 < nused0, m < # zbrar, m + nused0 < # zbrar, ∀ n. ¬ n1 < n ∧ zbrar[m + n].entry? → zbrar[m + n].key ≠ key0 ⊦ adr = payload(zbrar, m + 1, nused0)[key0]

User applied rule all left

And closed the goal!

Rule argument

pos: left 6 terms: 0 abort: F discard: F computed: F

Additional information

Used simplifier rules: ⊦ ¬ m < 0; (s)% ⊦ n + 0 = n; (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: 0