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Theorem validrefnotnull-union-at-right

⊦ validrefnotnull(str, r, ty, st0) ∧ is_classtype(ty) ∧ sk ∈ instfields(ty .class) ∧ is_fskey(sk) → (st ∪ st0)[r -- sk] = st0[r -- sk]

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: 19
Proof steps: 40
Used lemmas: junkref-class, junkref-is-junk, validref-def, validref-class, validrefnotnull-def, validrefnotnull-notnull,
Used spec theorems:
Used simplifier rules:
- addfuns/instfields-Object
- list/storekeys/in-empty
- okfuns/good-field-field-01
- javavalue/test-92
- javatype/inj-02
- javavalue/sel-11
- store/javastore/In-store
- storefuns/instore-01
- javatype/sel-02
- addfuns/is_valid_ref-isobj
- addfuns/is_valid_ref
- okfuns/is_array-type-04
- typefuns/subclass
- addfuns/instfields-subclass
- javavalue/test-02
- storekey/test-05
- storekey/elim-03
- fieldspec/elim
- list/storekeys/Two
- storefunsx/lookup-xtra
- store/javastore/notmemlookup
- storefunsx/union-at-left
- javatype/test-10
- javatype/elim-02