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Theorem array-le-same-prepart2

⊦ ar1 ≤ ar2 ∧ ar2 ≤ ar3 ∧ subarray(ar1, 0, m) = subarray(ar3, 0, m) ∧ perm(ar1, ar2) ∧ perm(ar2, ar3) ∧ m < # ar1 → subarray(ar1, 0, m) = subarray(ar2, 0, m)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas: array-le-same-prepart, array-le-trans,
Used spec theorems:
- list-perm/natarray-oarray-sort/l
Used simplifier rules:
- list-data/natarray-oarray-sort/l
- list-perm/natarray-oarray-sort/trans
- nat-basic/f
- nat-basic/lf-01