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Theorem cyclic-array

⊦ cyclic(str, r0, st) ∧ is_array(str, r, st) ∧ st[r -- i '] = refval(r0) ∧ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_reftype(st[r -- _type] .type .type) ∧ st[r0 -- _type] .type ≤ st[r -- _type] .type .type → cyclic(str, r, 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: 7
Proof steps: 15
Used lemmas: validrefs-superclass, validrefs-array, cyclic-def-simple,
Used spec theorems:
- Used simplifier rules:
  - javavalue/sel-09
  - javavalue/test-19
  - int-abs/lels-03
  - int-abs/lels-04
  - int-abs/lels
  - int-abs/lels-01
  - typefuns/ref
  - list/references/c-08
  - list/references/in-06
  - list-dup/references/dups-cons
  - list-dup/references/rec
  - list/references/a
  - list/references/e-01
  - list/references/c
  - list-dup/references/e-01
  - list-data/references/elim-list-c
  - int-abs/forward-le-01
  - int-abs/forward-le-05