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Theorem fid-in-fs

⊦ fids-cons(root, fs, ofh) ∧ fd ∈ ofh ∧ ofh[fd] = mkfh(fid, mode, m) → fid ∈ fs

Type: A user defined theorem
Validity: The proof is valid.
Features: lss, ss,
Comment:
Used by: inv-close, inv-read, inv-seek, inv-write,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 6
Used lemmas:
Used spec theorems:
- posix-base/fids-cons
- posix-base/ofh-fids
Used simplifier rules:
- file-handle/sel-05