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Theorem disjoint-forward-array-01

⊦ r ≠ r1 ∧ ¬ junkref(str, r1, st) ∧ ¬ disjoint(str, r + st[r1 -- i '] .refval, st) ∧ 0 ≤ i ∧ i < st[r1 -- _length] .intval ∧ r1 ≠ jvmref ∧ is_arraytype(st[r1 -- _type] .type) → ¬ disjoint(str, r ' + r1 ', st)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: disjoint-forward-array,
Used spec theorems:
- Used simplifier rules:
  - int-abs/forward-le-01
  - int-abs/forward-le-05
  - list/references/Two
  - list/references/in-06
  - list/references/a
  - list/references/in-01
  - list/references/in-17
  - list-del/references/del-n
  - list-del/references/one
  - list/references/app
  - list/references/Last
  - int-abs/lels-01
  - int-abs/lels-04
  - int-abs/lels
  - int-abs/lels-03