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Theorem okarrays-put-02

⊦ ¬ sk ∈ fis ∧ sk ≠ _type ∧ sk ≠ _length ∧ is_fskey(sk) → (okarrays(r, fis, st[r0 -- sk, val]) ↔ okarrays(r, fis, st))

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: okarrays-put-01, okarrays-put-03,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 9
Used lemmas: okarray-put-08, okarrays-rec-01, okarrays-base,
Used spec theorems:
- Used simplifier rules:
  - storekey/test-02
  - storekey/test-07
  - storekey/test-05
  - storekey/sel-05
  - storekey/test-06
  - storekey/test-08
  - fieldspec/elim
  - javastore/at-other-16
  - assoclist/fieldinit/inone
  - storekey/test-01
  - list/fieldinit-assoclista/a
  - assoclist/fieldinit/in-append
  - list/fieldinit-assoclista/c