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Theorem rename-fids

fids-cons(root, fs, ofh) ⊦ [posix_rename#(path, path', user, ofh; err, root, fs; psynced)] fids-cons(root, fs, ofh)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: inv-renam,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 35
Proof steps: 87
Used lemmas: fids-cons-reduce, renam,
Used spec theorems:
- directory-tree-fids/fids-put1
- directory-tree-fids/fids-strpath
- directory-tree-fids/fids-path
- directory-tree/split-at
- bag-union/fidbag/in-union
- bag-union/fidbag/in-diff-notfirst
- bag-union/fidbag/differente-notin
- directory-tree-fids/fids-put2
- list-last/path/prefix
Used simplifier rules:
- posix-pre/pre-renam-esuccess
- directory-tree/fnode-elim
- store/file-data-store/Del-in
- path/parent-elim
- list-last/path/postifx-app-03
- list-last/path/prefix-one-01
- directory-tree/dir-del
- posix-base/fids-cons-in
- bag-union/fidbag/in-diff-notfirst
- list-last/path/prefix-eq
- directory-tree/fnode-notin
- list-last/path/last-elim
- directory-tree/notdir-notin
- directory-tree/dnode-elim
- directory-tree/isdnode
- directory-tree/one-at
- directory-tree/one-ind
- directory-tree/at-dnode
- directory-tree-fids/fids-dnode
- directory-tree-fids/fids-emp
- bag-union/fidbag/diff-empty
- bag-union/fidbag/differente-notin
- list/path/app-04
- list-last/path/bapp
- list-del/path/restN-len
- directory-tree/in-dnode-empty
- directory-tree-fids/fids-fnode
- directory-tree/isfnode
- directory-tree-fids/fidb-diff-one
- bag-union/fidbag/in-one
- bag-union/fidbag/in-union
- directory-tree-fids/fids-del
- directory-tree-fids/fids-sub
- bag-union/fidbag/union-diff-distr
- bag-union/fidbag/union-diff-cancel
- bag-union/fidbag/union-ass
- bag-union/fidbag/union-com
- list-last/path/b-01
- list-last/path/prefix-empty
- list-last/path/lb
- directory-tree/at-del
- directory-tree/in-del
- list-last/path/prefix-nil
- directory-tree/nil-in
- directory-tree/nil-at
- nat-basic/c
- nat-basic/a
- nat-basic/add-base
- nat/add-01
- list/path/len-02
- list/path/len
- list-last/path/prefix-app
- directory-tree/split-in
- list/path/a
- list/path/e-02