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Theorem junkrefs-union

⊦ (∃ st0. st1 = st0 ∪ st) ∧ junkrefs(str, refs, ty, st1) → junkrefs(str, refs, ty, st)

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: 21
Proof steps: 57
Used lemmas: junkrefs-array, junkrefs-class, junkrefs-is-junk, junkrefs-null, junkrefs-empty,
Used spec theorems:
Used simplifier rules:
- okfuns/is_array-notin-01
- int-abs/forward-lels
- int-abs/lels-03
- storefunsx/union-at-left
- okfuns/is_array-lenfield
- int-abs/lels-04
- int-abs/forward-le-01
- int-abs/forward-le-05
- okfuns/is_array-type-02
- okfuns/is_array-union
- int-abs/lels
- int-abs/lels-01
- javavalue/sel-09
- okfuns/good-field-field-01
- store/javastore/In-store
- javavalue/test-92
- javatype/test-10
- typefuns/class-le
- javatype/inj-02
- javavalue/sel-11
- javatype/elim-02
- storefuns/instore-01
- addfuns/isobj-instfields
- storefunsx/union-at-right-01
- fieldspec/sel-03
- javavalue/test-19
- javavalue/elim-13
- fieldspec/elim
- list/references/a
- list/references/e-01
- list-data/references/elim-list-c
- store/javastore/notmemlookup
- storefunsx/lookup-xtra
- addfuns/is_obj-type
- addfuns/is_obj-union
- list/references/c