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Theorem okarray-subset

⊦ okarray(val, ty, i, st) ∧ st ⊆ st0 → okarray(val, ty, i, st0)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: okarray-union-04,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 9
Proof steps: 29
Used lemmas: okreftype, okarray-jvmref-01, okarray-01, okarray-null, oktype-okval, okarrayOfLength,
Used spec theorems:
- store/javastore/superset-elem-eq
- storearrays/is_arrayref
Used simplifier rules:
- int-abs/lels-03
- int-abs/forward-le-05
- javavalue/intval
- valuefuns/intval-xtra
- typefuns/subarray1
- javavalue/sel-11
- javavalue/test-92
- javavalue/elim-10
- javatype/test-09
- javatype/elim-01
- store/javastore/subset-elem-eq-02
- int-abs/forward-le-01
- storefuns/instore-01
- store/javastore/superset-elem-in-01
- int-abs/lels-04
- int-abs/lels
- store/javastore/In-store
- typefuns/array
- javavalue/sel-09
- javavalue/test-19
- valuefuns/refval-xtra
- javavalue/elim-refval
- int-abs/lels-01
- store/javastore/in-pair