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Theorem inv-recover

dirs = dirs0 \ orphans(dirs0, files), files0 = files \ orphans(dirs0, files), isdir, of-cons(of, dirs0, files), dom of < ino, afs-cons(dirs0, files) ⊦ ⟪vfs_recover#(isdir0; dirs, files0, asynced; of0, ino0, err)⟫ (err = ESUCCESS → asynced ∧ of-cons(of0, dirs, files0) ∧ dom of0 < ino0 ∧ afs-cons(dirs, files0))

Type: A proof obligation
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: 15
Used lemmas: of-cons-reduce, recover,
Used spec theorems:
- afs-asm/inv-recovery
Used simplifier rules:
- oset/nat-set/ls-emptyset
- store+set/open-files/dom-emp
- store/open-files/In-empty
- error-class/esuccess