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Theorem getarray-subset

⊦ st ⊆ st0 ∧ is_array(r, st) → getarray(r, st) = getarray(r, st0)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 17
Proof steps: 43
Used lemmas: okreftype, okarrayNotNull, okarray-05, subset-okarray, is-any-array, isarray-lenfield, isarray-len,
Used spec theorems:
- list-del/javavalues/extension
- storearrays/getarray-get
- storearrays/getarray-length
- storearrays/is_arrayref
- store/javastore/subset-elem-eq
- intnat/num-n2i-ls-06
Used simplifier rules: