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Theorem unchanged-validrefs-unchNorec

⊦ unchanged(str, refs .first, st, st0) ∧ validrefs(str, refs, ty, st) ∧ r0 ∈ refs → unchangedNorec(r0, st, st0)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: unchanged-cyclic, unchanged-pathex-append,
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: unchanged-pathex-unchNorec,
Used spec theorems:
- cyclic/pathex-validrefs-in
Used simplifier rules:
- cyclic/validrefs-not
- cyclic/pathex-one
- 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