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Theorem getintarray-rec-last

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

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: getintarray-in-02, getintarray-max-rec, getintarray-max-rec-01, getintarray-one,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: get-zero, getArray-one, getArray-rec, getintarray,
Used spec theorems:
- Used simplifier rules:
  - list/intlista/app-01
  - list/javavalues/a
  - valuesfuns/intvalues-append
  - list/javavalues/Last
  - int-abs/lels
  - int-abs/anti
  - valuesfuns/intvalues-one
  - valuesfuns/intvalues-empty
  - list/intlista/Nil
  - list/intlista/a
  - list/intlista/c-04
  - int-abs/forward-le-01
  - int-abs/mone-06
  - int-abs/numls-02
  - int-basic2/add-c
  - int-basic2/add-a
  - int-basic2/ax-04
  - int-abs/numsub
  - int-abs/forward-le-05
  - list/intlista/Last
  - int-abs/elim-sub