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Theorem pathex-addobj

⊦ validFields(r, fis, addobj(r, class, fis, st)) ∧ fis .keys = instfields(class) ∧ newref(r, st) ∧ validref(str, r, mkclasstype(class), addobj(r, class, fis, st)) ∧ fs ' × refval(r1) ∈ fis ∧ fs ' ∈ instfields(class) ∧ path∃(str, r1, r0, st) → path∃(str, r, r0, addobj(r, class, fis, 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: 9
Proof steps: 21
Used lemmas: validrefs-superclass, validrefs-subtype, validrefs-addobj-01, pathex-def,
Used spec theorems:
Used simplifier rules:
- addfuns/instfields-predef
- typefuns/classex-02
- javatype/sel-02
- classnamefuns/le-reflexive
- addfuns/is_valid_ref-obj
- javavalue/inj-09
- javatype/inj-02
- typefuns/subclass
- predefined/le-01
- addfuns/instfields-Object
- okfuns/keys-empty
- list/storekeys/in-empty
- javavalue/sel-11
- addfuns/add-type
- addfuns/instfields-type
- list-last/references/l-05
- list/references/c-08
- list/references/e
- list/references/app-02-ant
- list/references/a
- list/references/e-01
- list/references/c
- list-data/references/elim-list-c
- storefuns/newref-01