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Theorem inv-writemeta
root.dir?, fids-cons(root, fs, ofh) ⊦ ⟪posix_writemeta#(path, md, 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
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the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 20
Used lemmas:
fids-cons-reduce
,
writemeta
,
Used spec theorems:
Used simplifier rules:
directory-tree
/
dir-put2
directory-tree
/
setmeta-elim
directory-tree
/
dnode-elim
directory-tree-fids
/
fids-put3
file-data
/
setmeta
store
/file-data-store/
In-insert
directory-tree
/
isfnode
posix-pre
/
pre-writemeta-esuccess
posix-base
/
fids-cons-in
directory-tree
/
fnode-elim
posix-pre
/
pre-writemeta-efail