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Theorem abs-dirs-del-dir
⊦ inodekey(ino) ∈ ri ∧ fs[ri[inodekey(ino)]].directory → abs-dirs(fs, ri -- inodekey(ino)) = abs-dirs(fs, ri) -- ino
Type: A user defined theorem
Validity: The proof is valid.
Features: s,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas:
at-children
,
in-children
,
C-ext
,
D-inj
,
dir
,
at-dirs
,
in-dirs
,
D-ext
,
Used spec theorems:
Used simplifier rules:
heap
/dir-heap/
at-del
key
/
inj-03
heap
/dir-heap/
in-del
store
/node-index/
Del-in
key
/
disj-02
store
/node-index/
Del-at-strong