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Theorem getintarray-rec-first

⊦ 0 < j → getintarray(r, i, j, st) = st[r -- i '] .intval + getintarray(r, i + 1, j - 1, st)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: getintarray-empty-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas: get-rec-01, getintarray,
Used spec theorems:
- Used simplifier rules:
  - int-abs/zero-gels-04
  - list/intlista/a
  - list/intlista/app-01
  - list/javavalues/a
  - valuesfuns/intvalues-rec
  - int-basic2/ax-04
  - int-abs/numsub
  - int-abs/lels-01
  - int-abs/lels-04
  - int-abs/forward-le-01
  - int-basic2/add-c
  - int-basic2/add-a
  - int-abs/mone-06
  - int-abs/numls-02
  - int-abs/forward-le-05
  - list/intlista/c
  - int-abs/elim-sub