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Theorem putar-getar-01

⊦ r ≠ r0 → getarray(r, i, j, putArray(vals, r0, i, st)) = getarray(r, i, j, st)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 10
Used lemmas: getarray-put-02, putar-atref, getArray-zero, get-rec-01, putArray-rec, putArray-empty,
Used spec theorems:
- Used simplifier rules:
  - int-abs/zero-gels-04
  - list/javavalues/app-01
  - int-basic2/ax-04
  - int-abs/numsub
  - int-abs/lels-01
  - int-abs/lels-04
  - int-abs/forward-le-01
  - int-basic2/add-c
  - int-basic2/add-a
  - int-abs/mone-06
  - int-abs/numls-02
  - int-abs/elim-sub
  - int-abs/forward-le-05
  - javastore/look-ins
  - int-abs/lels
  - list/javavalues/a
  - list/javavalues/c