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Theorem sorted-all

n + m ≤ # zbrar ⊦ sorted(zbrar, n, m) ↔ (∀ m0, m1. m0 < m1 ∧ m1 < m → zbrar[n + m0].key < zbrar[n + m1].key)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: sorted-eq-entry,
Used by units in proved state: zbranch-array-ops,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 7
Proof steps: 14
Used lemmas: sorted-rec, sorted-one, sorted-base, sorted-lt-h,
Used spec theorems:
- Used simplifier rules: