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Theorem range

⊦ n < nused ∧ nused ≤ # zbrar → key-range(zbrar, n, nused, ri) = (n = 0 ⊃ (nused = 1 ⊃ ri;ri |≤ zbrar[0].key);(n + 1 = nused ⊃ ri |> zbrar[n - 1].key;(ri |> zbrar[n - 1].key) |≤ zbrar[n].key))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: in-keyrange-in-ri, in-keyrange-in-ri-data, key-range-replace-branches, look-scan-range, look-subrange, range-emp, range-load-save, unmodified-key-range-node,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 9
Used lemmas: range-inner, range-last, range-first, range-one,
Used spec theorems:
- Used simplifier rules: