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Theorem nosharing-nocycle

⊦ validref(str, r, ty, st) ∧ ¬ hasSharing(r, st) → ¬ 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: 2
Proof steps: 6
Used lemmas: hassharing-validrefs-dups,
Used spec theorems:
- cyclic/cyclic-def
Used simplifier rules:
- list-dup/references/dups-cons
- list/references/c-08
- cyclic/validrefs-sametype
- 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