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Theorem cyclic-put-nopathex

⊦ ¬ path∃(str, r, r0, st) ∧ ¬ junkref(str, r, st) ∧ sk ≠ _type → (cyclic(str, r, st[r0 -- sk, val]) ↔ cyclic(str, r, 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: 13
Proof steps: 30
Used lemmas: validrefs-nopathex-01, validrefs-not, pathex-put-last, validrefs-nopathex, pathex-one, validrefs-put-notin, cyclic-def-shortest,
Used spec theorems:
- Used simplifier rules:
  - list/references/in-11
  - junkrefs/junkref-not-valid-01
  - list/references/c-08
  - list/references/in-06
  - list-dup/references/c-02
  - refkey/inj-01
  - refkey/inj
  - list-dup/references/dups-cons
  - list/references/in-17
  - list/references/in-append
  - list/references/a
  - list/references/e-01
  - list/references/c
  - list/references/in-empty
  - list-data/references/elim-list-c
  - javastore/at-other-16