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Theorem getarray-put-01

⊦ i0 < i ∨ i + j ≤ i0 → getarray(r, i, j, st[r -- i0 ', val]) = getarray(r, i, j, st)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: getarray-put, getarray-put-05, getarray-put=set, getbar-put-other, putar-getar,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 11
Used lemmas: getarray-offset-02, getArray-zero, get-rec-01,
Used spec theorems:
- Used simplifier rules:
  - int-basic1/ls-01
  - int-abs/succ-02
  - intnat/rax-04
  - nat-basic2/s
  - intnat/labs
  - int-abs/absle
  - nat-basic2/a
  - nat-basic2/c
  - int-abs/zero-gels-04
  - list/javavalues/a
  - list/javavalues/app-01
  - int-basic2/ax-04
  - int-abs/numsub
  - int-abs/lels-01
  - int-basic2/ls
  - int-abs/lels-04
  - oelem/intlista/irreflexivity
  - int-abs/forward-le-01
  - int-abs/succ-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
  - storekey/inj-04
  - refkey/inj-01
  - javastore/lookup-if
  - int-abs/lels