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Theorem fid-ino

⊦ ispath(p, ino, m, dirs, files) ∧ px-parent(user, p, ino, dirs, files) ∧ abs(tree, ino)(dirs) ∧ fids-cons(tree, abs-files(files), ofh) ∧ afs-cons(dirs, files) ∧ m ∈ files → (tree[p] = fnode(fid) ↔ fid = ⌜m⌝ )

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: refine-open, refine-readmeta, refine-truncate, refine-writemeta,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: path-in-eq, path-in,
Used spec theorems:
- vfs-abs/path-unfold
Used simplifier rules:
- afs-base/afs-cons-notfile
- maplet/dir-heap/ex1
- heap-sep/dir-heap/sep-ass
- heap-sep/dir-heap/sep-com
- vfs-abs/absc-path
- vfs-abs/abs-is-file
- directory-tree-base/fnode-inj
- afs-base/isexpath