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Theorem putar-getar

⊦ j = n→i(# vals) → getarray(r, i, j, putArray(vals, r, i, st)) = vals

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 16
Used lemmas: getarray-put-01, getarray-offset-02, putar-at, getArray-one, getArray-rec, putArray-rec, get-zero, putArray-empty,
Used spec theorems:
- Used simplifier rules:
  - int-basic2/ls
  - int-basic1/ls-01
  - int-abs/lep-01
  - int-abs/forward-le-05
  - list/javavalues/in-15
  - int-abs/lels
  - int-abs/anti
  - intnat/num-n2i-eq
  - list-data/javavalues/lf-01
  - list-del/javavalues/get-zero
  - list/javavalues/Nil
  - int-abs/forward-le-01
  - list/javavalues/app-01
  - int-abs/mone-06
  - intnat/minus-one
  - int-abs/elim-sub
  - int-abs/ler
  - int-abs/sub-add-05
  - int-abs/le-add
  - int-abs/leone
  - int-basic2/ls-01
  - int-abs/succ-02
  - int-abs/lels-01
  - oelem/intlista/irreflexivity
  - list/javavalues/Last
  - intnat/nat2int-02
  - int-basic2/eq
  - storekey/inj-04
  - refkey/inj-01
  - int-basic2/ax-04
  - int-abs/numsub
  - int-abs/numls-02
  - intnat/num-n2i-ls-02
  - nat-basic1/z
  - list-data/javavalues/l
  - int-basic2/add-a
  - int-basic2/add-c
  - javastore/lookup-if
  - list/javavalues/app
  - list/javavalues/c-04
  - nat-basic2/c
  - nat-basic2/a
  - intnat/n2i-add
  - list/javavalues/a
  - list/javavalues/len-02
  - list/javavalues/len
  - list/javavalues/c
  - list-data/javavalues/size-01