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Theorem isobj-field-in

⊦ ¬ r -- sk ∈ st ∧ sk ∈ instfields(class) ∧ st[r -- _type] .type ≤ mkclasstype(class) ∧ r ≠ jvmref → ¬ is_obj(r, st)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: is_obj-field-in, is_valid_ref-field-in,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 11
Used lemmas: instfields-subclass-01, is_obj-def, is-any-object,
Used spec theorems:
- okfuns/gfts-all
Used simplifier rules:
- okfuns/good-field-in-01
- store/javastore/In-store
- javavalue/test-92
- javavalue/elim-10
- typefuns/subclass
- javatype/test-10
- javatype/elim-02
- storefuns/instore-01