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Theorem at=get-offset

⊦ i0 ≤ i ∧ i < j + i0 ∧ 0 ≤ i0 → st[r -- i '] = (getarray(r, i0, j, st)[i→n(i - i0)])

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 14
Used lemmas: get-zero, get-length, getArray-one, getArray-rec,
Used spec theorems:
- list-del/javavalues/get-butlast
- list-del/javavalues/get-last
Used simplifier rules:
- nat-basic2/c
- nat-basic2/a
- oelem/intlista/irreflexivity
- nat-basic2/s
- intnat/abs-succ-03
- int-abs/lels-01
- int-abs/lels-04
- int-abs/zero-gs
- oelem/intlista/lel
- int-basic2/ls
- intnat/abs-eq
- int-abs/ler
- int-abs/anti
- int-abs/abs-16
- int-abs/absle
- intnat/labs
- int-basic2/zero-02
- int-abs/succ-02
- int-abs/numsub
- int-basic1/forward-pos
- list/javavalues/Last
- int-abs/lels
- int-abs/bet
- int-abs/numls-02
- int-abs/mone-06
- int-abs/zero-gels-04
- int-abs/bet-01
- int-basic2/ax-04
- list-del/javavalues/one-03
- int-abs/lep
- int-basic2/ls-01
- int-abs/forward-le-05
- int-basic2/add-c
- int-basic2/add-a
- int-basic2/ls-02
- int-abs/forward-lels
- int-abs/forward-le-01
- int-abs/forward-lele
- int-abs/elim-sub