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Theorem getarray-put-02

⊦ r ≠ r0 → getarray(r, i, j, st[r0 -- sk, val]) = getarray(r, i, j, st)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: getarray-put-05, getarray-put-other, getarray-putbar, getarray-putbar-01, getbar-put-other, getbar-ref, getintarray-put-other, putar-getar-01, putar-getar-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 12
Used lemmas: getArray-one, getArray-zero, getArray-rec,
Used spec theorems:
- Used simplifier rules:
  - intnat/abs-succ-03
  - nat-basic2/s
  - intnat/labs
  - int-abs/abs-16
  - oelem/intlista/irreflexivity
  - nat-basic2/a
  - nat-basic2/c
  - list/javavalues/a
  - list/javavalues/app-03
  - int-abs/lels-03
  - int-basic2/zero-02
  - int-abs/numls-02
  - int-basic2/add-c
  - int-basic2/add-a
  - int-basic2/ax-04
  - int-abs/numsub
  - int-abs/elim-sub
  - int-basic1/forward-pos
  - list/javavalues/Last
  - int-abs/lels-01
  - int-abs/bet
  - int-abs/forward-le-05
  - javastore/look-ins
  - list/javavalues/c-04
  - int-abs/lels