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Theorem unchanged-lookup-list-generic

⊦ unchanged(str, r, st, st0) ∧ ¬ junkref(str, r, st) ∧ fits(r, sks, st) → st[r -- sks] = st0[r -- sks]

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: 34
Proof steps: 58
Used lemmas: unchanged-fits, fits-storekeys-rec, fits-storekeys-one, fits-null, fits-storekeys-empty,
Used spec theorems:
Used simplifier rules:
- okfuns/is_array-classtype
- addfuns/is_valid_ref-no-arraytype
- storekey/test-08
- storekey/elim-04
- int-abs/forward-le-01
- int-abs/forward-le-05
- okfuns/is_array-arraytype
- addfuns/isarray-isobj-01
- storekey/test-01
- storekey/test-05
- storekey/test-07
- storekey/elim-03
- javatype/diff
- addfuns/is_obj-classtype
- addfuns/is_obj-arraytype
- addfuns/is_valid_ref-isobj
- addfuns/instfields-index-01
- int-abs/zero-gels-04
- junkrefs/junkref-bad-type
- addfuns/is_valid_ref-array-01
- javatype/diff-01
- storekey/test-02
- int-abs/lels-04
- int-abs/lels-03
- junkrefs/junkref-not-valid-01
- list/storekeys/e
- int-abs/lels
- int-abs/lels-01
- storekey/test
- cyclic/pathex-one
- storefuns/lookup-one
- list/storekeys/a
- list/storekeys/app
- list/storekeys/c
- storefuns/lookup-empty
- javavalue/inj-03