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Theorem inv-create
root.dir?, fids-cons(root, fs, ofh) ⊦ ⟪posix_create#(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
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 22
Used lemmas:
fids-cons-reduce
,
create
,
Used spec theorems:
bag-union
/fidbag/
in-union
posix-base
/
inf-fids
Used simplifier rules:
directory-tree
/
dir-put3
directory-tree
/
nil-put
directory-tree-fids
/
fids-fnode
directory-tree-fids
/
fids-put2
directory-tree
/
nil-in
bag-union
/fidbag/
in-one
store
/file-data-store/
In-insert
store
/file-data-store/
in-neq
posix-pre
/
pre-create-esuccess
store+set
/file-data-store/
Dom
posix-pre
/
pre-create-efail