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Theorem getarray-subset

⊦ st ⊆ st0 ∧ is_arrayref(r, i + j, st) ∧ 0 ≤ i → getarray(r, i, j, st) = getarray(r, i, j, st0)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 8
Used lemmas: get-alleq, is_arrayref,
Used spec theorems:
- store/javastore/subset-elem-eq
Used simplifier rules:
- int-abs/zero-gs
- int-basic2/add-a
- int-abs/le-add
- int-abs/lels-03
- storefunsx/lookup-xtra
- store/javastore/notmemlookup
- int-basic2/add-c
- int-abs/forward-le-05
- int-abs/forward-le-01
- int-abs/lels
- int-abs/lels-01