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Theorem getintarray-in-02

⊦ i ∈ getintarray(r, i0, j, st) ↔ (∃ j0. i = st[r -- (i0 + j0) '] .intval ∧ 0 ≤ j0 ∧ j0 < j)

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: 6
Proof steps: 19
Used lemmas: getintarray-empty, getintarray-empty-01, getintarray-rec-last,
Used spec theorems:
- Used simplifier rules:
  - int-basic1/ls-01
  - int-abs/lels-04
  - intnat/rax-04
  - nat-basic2/s
  - intnat/labs
  - int-abs/absle
  - oelem/intlista/irreflexivity
  - nat-basic2/a
  - nat-basic2/c
  - int-abs/forward-le-01
  - int-abs/mone-06
  - int-abs/numls-02
  - int-abs/succ-01
  - int-basic2/add-c
  - int-basic2/add-a
  - int-basic2/ax-04
  - int-abs/numsub
  - int-abs/elim-sub
  - int-abs/forward-le-05
  - list/intlista/a
  - list/intlista/in-17
  - list/intlista/in-append
  - list/intlista/Last
  - int-abs/anti
  - list/intlista/in-empty
  - int-abs/zero-gels
  - int-abs/forward-le-04
  - int-abs/lels
  - int-abs/lels-01