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Theorem at-put-prim

⊦ ¬ is_referencevalue(st[r -- sk]) ∧ fits(r0, sks, st) ∧ ¬ junkref(str, r, st) ∧ ¬ junkref(str, r0, st) ∧ is_referencevalue(st[r0 -- sks]) ∧ sks ≠ [] → (st[r -- sk, val][r0 -- sks]) = st[r0 -- sks]

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: put-switch-primval-field-index, put-switch-primval-index-field, put-switch-primval-index-index,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 14
Proof steps: 36
Used lemmas: fits-storekeys-empty, fits-storekeys-rec,
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/elim-04
- int-abs/forward-le-01
- int-abs/forward-le-05
- javatype/diff-01
- okfuns/is_array-arraytype
- addfuns/instfields-index-02
- storekey/sel-05
- junkrefs/junkref-null
- fieldspec/elim
- javatype/sel-02
- javatype/test-10
- javatype/elim-02
- javatype/diff
- addfuns/is_obj-classtype
- addfuns/is_obj-arraytype
- refkey/inj-01
- javavalue/sel-09
- refkey/inj
- store/javastore/At-same
- storefuns/lookup-empty
- storefuns/lookup-one
- list/storekeys/app
- javavalue/test-19
- javavalue/elim-13
- list/storekeys/a
- list/storekeys/e-01
- list/storekeys/c