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Theorem lexicographic-total

⊦ ¬ ar0 < ar1 ∧ ¬ ar1 < ar0 → ar0 = ar1

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 10
Used lemmas: array-exists-first-neq, lexicographic,
Used spec theorems:
- array/gearray/Extension
Used simplifier rules:
- nat/ler
- array-copy/subarray-elim
- nat/lels-02
- oelem/sls
- nat/anti
- nat/lels
- nat/ax-02