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Theorem cyclic-addobj-other

⊦ ¬ cyclic(str, r, st) ∧ ¬ junkref(str, r, st) ∧ newref(r0, st) ∧ r ≠ r0 → ¬ cyclic(str, r, addobj(r0, class, fis, st))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: cyclic-addobj-other-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 14
Used lemmas: validrefs-addobj-junkref, validrefs-addobj, cyclic-def-simple,
Used spec theorems:
- Used simplifier rules:
  - list-dup/references/dups-cons
  - list/references/c-08
  - list/references/in-01
  - 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
  - addfuns/add-ref
  - storefuns/newref-01