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Theorem unchanged-pathex

⊦ unchanged(str, r, st, st1) ∧ path∃(str, r, r0, st) → path∃(str, r, r0, st1)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: unchanged-lookup-generic,
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-pathex-unchNorec, unchNorec-validrefs,
Used spec theorems:
- cyclic/pathex-def
- 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-data/references/elim-list-c