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Theorem copy-in-between

⊦ i0 ≤ j0 ∧ j0 < i0 + j → r0 -- j0 ' ∈ arraycopy(r, i, r0, i0, j, st)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 7
Used lemmas: copy-zero, copy-in-upper, arrayCopy-rec,
Used spec theorems:
- Used simplifier rules:
  - intnat/abs-pred
  - int-abs/sub-ls-01
  - oelem/intlista/sls
  - int-abs/succ-02
  - int-abs/lels-03
  - int-abs/lels-01
  - int-abs/lels-04
  - int-abs/lels
  - int-abs/bet
  - int-abs/sub-eq-01
  - int-basic2/add-in
  - int-abs/lels-02
  - int-basic2/ax-04
  - int-abs/numsub
  - javastore/instore-02
  - int-abs/anti
  - int-abs/sub-add-01
  - int-abs/sub-le
  - int-abs/les
  - store/javastore/In-insert
  - refkey/inj-01
  - storekey/inj-04
  - int-abs/sub-eq
  - int-abs/forward-le-05
  - int-basic2/add-c
  - int-basic2/add-a
  - int-basic2/ls-02
  - int-abs/forward-lels