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Theorem inv-unlink
root.dir?, fids-cons(root, fs, ofh) ⊦ ⟪posix_unlink#(path, user, ofh; err, root, fs; psynced)⟫ (root.dir? ∧ fids-cons(root, fs, ofh))
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: 27
Used lemmas:
fids-cons-reduce
,
unlink
,
Used spec theorems:
bag-union
/fidbag/
differente-notin
Used simplifier rules:
directory-tree
/
dir-del
posix-pre
/
pre-unlink-esuccess
directory-tree
/
fnode-elim
directory-tree
/
isfnode
store
/file-data-store/
Del-in
directory-tree-fids
/
fidb-diff-one
directory-tree-fids
/
fids-fnode
directory-tree-fids
/
fids-path
directory-tree-fids
/
fids-del
bag-union
/fidbag/
in-one
bag-union
/fidbag/
in-diff-notfirst
posix-pre
/
pre-unlink-efail