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Theorem abs-files-new
⊦ ¬ ino ∈ files ∧ ino ≠ 0 → abs-files(files)[⌜ino⌝ , mkfile(md, mkbuf(0))] = abs-files((files ++ ino)[ino, mkfile(0, md, 1, ∅)])
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 15
Used lemmas:
abs-files-at
,
abs-files-in
,
Used spec theorems:
store
/file-data-store/
k-Extension
heap
/file-heap/
at-alloc
Used simplifier rules:
store
/file-data-store/
At-same
store
/file-data-store/
insin
abstract-file
/
sel-07
abstract-file
/
sel-01
afs-stream
/
stream-empty
abstract-file
/
sel-06
stream
/buffer-inf/
to-zero
buffer-inf-conv
/
tobuf-empty
store
/file-data-store/
At-other
store
/file-data-store/
in-neq
file-id-data
/
inj
abstract-file
/
elim
heap
/file-heap/
in-alloc
heap
/file-heap/
in-write
heap
/file-heap/
at-write
abstract-file
/
inj