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Theorem lookup-statfield

⊦ ¬ junkref(str, r, st) ∧ fits(r, sks, st) ∧ r ≠ jvmref → (st[jvmref -- sk, val][r -- sks]) = st[r -- sks]

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: hasSharing-put-statfield,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 18
Proof steps: 40
Used lemmas: fits-storekeys-rec,
Used spec theorems:
Used simplifier rules:
- addfuns/instfields-index
- javatype/test-10
- javatype/elim-02
- javatype/diff
- addfuns/is_obj-classtype
- addfuns/is_valid_ref-isobj
- int-abs/lels-04
- int-abs/lels-03
- javavalue/sel-09
- junkrefs/junkref-null
- javatype/test-09
- javatype/elim-01
- storekey/test-08
- storekey/elim-04
- int-abs/forward-le-01
- int-abs/forward-le-05
- javatype/diff-01
- okfuns/is_array-arraytype
- okfuns/is_array-classtype
- addfuns/isarray-isobj-01
- addfuns/is_valid_ref
- int-abs/lels
- int-abs/lels-01
- storekey/test
- list/storekeys/e-01
- javavalue/test-19
- javavalue/elim-13
- list/storekeys/app
- list/storekeys/a
- storefuns/lookup-one
- javastore/look-ins
- list/storekeys/c
- storefuns/lookup-empty
- javavalue/inj-03