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Theorem junkrefs-put-nopathex-equiv

⊦ ¬ path∃(str, r, r0, st) ∧ is_valid_ref(str, r0, st) ∧ sk ≠ _type ∧ refs ≠ [] ∧ refs .first = r → (junkrefs(str, refs, ty, st[r0 -- sk, val]) ↔ junkrefs(str, refs, ty, st))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: junkref-put-nopathex-equiv-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 21
Proof steps: 46
Used lemmas: pathex-array, pathex-class, pathex-one, junkrefs-put-nopathex,
Used spec theorems:
Used simplifier rules:
- int-abs/lels-03
- int-abs/lels-04
- int-abs/lels
- int-abs/lels-01
- okfuns/is_array-put-01
- int-abs/forward-le-01
- int-abs/forward-le-05
- javavalue/sel-09
- fieldspec/sel-03
- javastore/look-ins
- addfuns/is_obj-put-01
- javavalue/test-19
- javavalue/elim-13
- fieldspec/elim
- list-data/references/elim-list-c
- junkrefs/junkrefs-null-02
- javastore/at-other-16
- list/references/app-02-ant
- list/references/e
- list/references/c-08
- list/references/a
- list/references/e-01
- list/references/c