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Theorem hasSharing-addobj-same

⊦ newref(r, st) ∧ validfieldinits(str, fis, st) ∧ ¬ junkref(str, r, addobj(r, class, fis, st)) ∧ fis .keys = instfields(class) → ( hasSharing(r, addobj(r, class, fis, st)) ↔ ¬ (¬ dups(fis .vals .nonnullrefs) ∧ ¬ hasSharing(fis .vals .nonnullrefs, st) ∧ disjoint(str, fis .vals .nonnullrefs, 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: 77
Proof steps: 163
Used lemmas: fits-storekeys-empty, fits-in, fits-storekeys-one, disjoint-def-fits, hasSharing-def-better, hasSharing-list-def, fits-null, fits-in-01, fits-subset-01, fits-rec, hasSharing-def,
Used spec theorems:
Used simplifier rules:
- list/storekeys/app
- list/storekeys/c-06
- okfuns/keys-notin-02
- storefuns/lookup-one
- list/storekeys/c-04
- addfuns/instfields-nodups
- okfuns/nonnullrefs-in
- junkrefs/validfieldinits-validreflist
- list/storekeys/app-01
- junkrefs/junkref-null
- storefuns/lookup-empty
- javavalue/inj-03
- junkrefs/validfieldinits-junkref
- store/javastore/sub-ref
- addfuns/stsubset-addobj
- javavalue/sel-09
- javavalue/elim-13
- javatype/test-28
- addfuns/add-in-09
- okfuns/keys-notin
- javatype/sel-02
- javatype/test-10
- javavalue/sel-11
- addfuns/add-type
- addfuns/instfields-type
- list/storekeys/c-07
- list/storekeys/c-08
- list/storekeys/app-02-ant
- list/storekeys/e
- list/storekeys/a
- list/storekeys/e-01
- list/storekeys/c
- list-data/storekeys/elim-list-c
- javavalue/test-19
- valuefuns/refval-xtra
- javavalue/elim-refval
- storefuns/newref-01