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Theorem fids-strpath

⊦ fid ∈ sdt.fids ↔ (∃ str, p. str ∈ sdt ∧ p ∈ sdt[str] ∧ sdt[str][p] = fnode(fid))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: fids-str,
Used by units in proved state: posix-asm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 10
Proof steps: 20
Used lemmas: fids-path, fids-in, fids-ins, fids-emp,
Used spec theorems:
- store/directory-tree-inst/exnotempty
- bag-union/fidbag/in-union
- directory-tree-base/At-other
Used simplifier rules:
- bag-union/fidbag/in-emp
- directory-tree-base/In-empty
- store/directory-tree-inst/insin
- directory-tree-base/Size-insert
- nat-basic/s-04
- nat-basic/ref
- nat-basic/a
- nat-basic/c
- store/directory-tree-inst/At-in-out
- directory-tree-base/At-same
- directory-tree-base/In-insert