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Theorem arrayComp-01

⊦ arraycomp(r1, i1, r2, i2, j, st) ∧ 0 < j → (arraycomp(r1, i1, r2, i2, j + 1, st) ↔ st[r1 -- (i1 + j) '] = st[r2 -- (i2 + j) '])

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas: arrayComp,
Used spec theorems:
- Used simplifier rules:
  - int-abs/lels-04
  - int-abs/anti
  - int-abs/forward-le-01
  - int-basic1/ls-01
  - oelem/intlista/irreflexivity
  - int-abs/forward-le-05
  - int-abs/lels
  - int-basic2/add-c
  - int-basic2/add-a
  - int-abs/succ-02
  - int-abs/lels-01