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Theorem cyclic-addobj

⊦ (∀ fs, r0. fs ' × refval(r0) ∈ fis → ¬ junkref(str, r0, st) ∧ ¬ cyclic(str, r0, st)) ∧ newref(r, st) ∧ is_obj(str, r, addobj(r, class, fis, st)) ∧ ¬ _type ∈ fis ∧ validfieldinits(fis, st) ∧ fis .keys = instfields(class) → (cyclic(str, r, addobj(r, class, fis, st)) ↔ (∃ fs. fs ' ∈ fis ∧ fs ' ∈ instfields(class) ∧ fis[fs '] = refval(r)))

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: 26
Proof steps: 62
Used lemmas: validrefs-one, validrefs-type, validrefs-sametype, validrefs-addobj, validrefs-addobj-junkref, cyclic-not-null, validrefs-null-02, validrefs-class, validrefs-is-junk, validrefs-null, cyclic-def-simple,
Used spec theorems:
Used simplifier rules:
- list/references/first
- list/references/e
- list-dup/references/c
- list-dup/references/dups-cons
- list/references/in-10
- list/references/in-06
- list/references/c-08
- javavalue/test-92
- javavalue/elim-10
- storefuns/newref-in-03
- storefuns/instore-01
- junkrefs/junkref-null
- javavalue/sel-09
- fieldspec/sel-03
- storekey/sel-05
- storekey/test-05
- okfuns/oktype-okval
- javavalue/inj-03
- junkrefs/junkref-newref
- assoclist/fieldinit/in-assoclist
- addfuns/add-in-09
- specialkeys/type-05
- javavalue/disj-44
- javavalue/test-19
- javavalue/elim-13
- list/references/in-17
- list/references/in-append
- list/references/in-empty
- fieldspec/elim
- javatype/sel-02
- classnamefuns/le-reflexive
- typefuns/subclass
- addfuns/is_valid_ref-isobj
- list-dup/references/rec
- list/references/a
- list/references/e-01
- list/references/c
- list-dup/references/e-01
- list-data/references/elim-list-c
- javavalue/sel-11
- addfuns/add-type
- storefuns/newref-01
- addfuns/instfields-type