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Theorem initialization

ino = LEB_SIZE ⊦ ⟪vfs_format#(n, isdir0, ino, md; dirs, files, asynced; of, ino0, err)⟫ ( ( err = ESUCCESS → ⟨posix_format#(n, isdir0, ino, md; ; root, fs0, ofh0, psynced, err0)⟩ ((ofh0 = abs-of(of) ∧ fs0 = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced)) ∧ err = err0)) ∧ ( err ≠ ESUCCESS → (∀ tree, fs, ofh, isdir. ⟨posix_format#(n, isdir0, ino, md; ; root, fs0, ofh0, psynced, err0)⟩ (tree = root ∧ fs = fs0 ∧ ofh = ofh0 ∧ (isdir ↔ psynced) ∧ err = err0))))

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: 42
Used lemmas:
Used spec theorems:
- Used simplifier rules:
  - vfs-abs/abs-of-emp
  - vfs-abs/abs-files-emp
  - maplet/dir-heap/ex2
  - vfs-abs/abs-dnode-emp
  - maplet/dir-heap/maplet-singleton-heap
  - root-ino/neq-0
  - error-class/not-esuccess
  - error-class/ecommit