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Theorem putar-atother

⊦ i < j ∨ n→i(# vals) + j ≤ i → (putArray(vals, r, j, st)[r0 -- i ']) = st[r0 -- i ']

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas: putar-atref, putArray-rec, putArray-empty,
Used spec theorems:
- Used simplifier rules:
  - int-abs/succ-02
  - int-abs/lels-04
  - int-basic1/ls-01
  - int-basic2/ls
  - intnat/nat2int-08
  - oelem/intlista/irreflexivity
  - int-abs/lels-01
  - int-abs/lels
  - int-basic2/add-c
  - int-basic2/add-a
  - int-abs/succ-01
  - nat-basic2/c
  - nat-basic2/a
  - intnat/n2i-add
  - list/javavalues/len-02
  - list/javavalues/len
  - storekey/inj-04
  - refkey/inj-01
  - javastore/lookup-if
  - list/javavalues/a
  - list/javavalues/c