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Theorem hasSharing-array-forward

⊦ ¬ hasSharing(r, st) ∧ st[r -- i '] = refval(r0) ∧ r ≠ jvmref ∧ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_arraytype(st[r -- _type] .type) → ¬ hasSharing(r0, st)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: hasSharing-pathex,
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: fits-storekeys-rec, hasSharing-def,
Used spec theorems:
- storefuns/lookup-rec-01
Used simplifier rules:
- int-abs/lels-03
- int-abs/lels
- int-abs/lels-04
- int-abs/lels-01
- storekey/sel-06
- storekey/test-08
- javatype/diff-01
- javavalue/sel-09
- list/storekeys/e
- list/storekeys/app-02-ant
- list/storekeys/a
- list/storekeys/app-01
- list/storekeys/c
- javavalue/test-19
- valuefuns/refval-xtra
- javavalue/elim-refval
- int-abs/forward-le-01
- int-abs/forward-le-05