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Theorem junkref-update-equiv

⊦ ¬ path∃(str, r, r0, st) ∧ ¬ _type ∈ fis ∧ is_valid_ref(str, r0, st) ∧ validFields(r0, fis, st) → (junkref(str, r, update(r0, fis, st)) ↔ junkref(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: 23
Proof steps: 50
Used lemmas: pathex-array, pathex-class, pathex-one, pathex-not-is-validref-01, junkref-update,
Used spec theorems:
Used simplifier rules:
- int-abs/lels-03
- int-abs/lels-04
- int-abs/lels
- okfuns/update-length
- int-abs/lels-01
- okfuns/is_array-update
- int-abs/forward-le-01
- int-abs/forward-le-05
- junkrefs/junkrefs-subtype
- javavalue/sel-09
- fieldspec/sel-03
- okfuns/update-at
- okfuns/update-type
- addfuns/is_obj-update
- javavalue/test-19
- javavalue/elim-13
- fieldspec/elim
- list/references/c-08
- junkrefs/junkrefs-null-02
- addfuns/is_valid_ref-update
- typefuns/ref
- list/references/app
- list/references/a
- list/references/e-01
- list/references/c
- list-data/references/elim-list-c