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Theorem fits-put-short

⊦ ¬ junkref(str, r, st) ∧ fits(r, sks, st) ∧ is_shortvalue(st[r1 -- fs ']) → (st[r1 -- fs ', val][r -- sks]) = st[r -- sks]

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 16
Proof steps: 44
Used lemmas: fits-storekeys-rec, fits-storekeys-one, fits-storekeys-empty,
Used spec theorems:
Used simplifier rules:
- int-abs/lels-04
- int-abs/lels-03
- javatype/test-09
- javatype/elim-01
- int-abs/lels
- int-abs/lels-01
- storekey/test-08
- storekey/disj
- storekey/elim-04
- int-abs/forward-le-01
- int-abs/forward-le-05
- storekey/test-07
- javatype/diff-01
- okfuns/is_array-arraytype
- okfuns/is_array-classtype
- addfuns/instfields-index-02
- storekey/inj-03
- storekey/sel-05
- junkrefs/junkref-null
- fieldspec/elim
- javatype/sel-02
- javatype/test-10
- javatype/elim-02
- javatype/diff
- addfuns/is_obj-classtype
- javavalue/sel-09
- javavalue/test-19
- javavalue/elim-13
- javavalue/diff-17
- store/javastore/At-same
- refkey/inj
- refkey/inj-01
- javastore/look-ins
- javastore/at-other-16
- storefuns/lookup-one
- list/storekeys/a
- list/storekeys/app
- list/storekeys/c
- storefuns/lookup-empty
- javavalue/inj-03