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Theorem unchanged-cyclic

⊦ unchanged(str, r, st, st0) ∧ ¬ junkref(str, r, st) ∧ cyclic(str, r, st) → cyclic(str, r, st0)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 13
Used lemmas: unchanged-validrefs-unchNorec, unchNorec-validrefs-equiv,
Used spec theorems:
- cyclic/cyclic-def-simple
Used simplifier rules:
- list/references/in-06
- list/references/in-17
- list/references/in-append
- cyclic/validrefs-sametype
- list/references/c-08
- list-dup/references/dups-cons
- 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