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Theorem refine-gc

orphans-cons(fs, ri, ro), dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), orphans(dirs, files) = abs-keys(ro), asynced → boolvar, afs-cons(dirs, files), ubifs-cons(fs, ri, ro, fi, fo, log), replay-cons-strong(fs, ri, ro, fi, fo, log), file-node-cons(fs, ri), orphans-cons(fs, ri, ro), ri-inj(ri), ri-inj(fi), log-cons(log, fs), ro.inodes?, fo.inodes? ⊦ ⟪aubifs_gc#(fi, ro, fo; ri, fs, log, boolvar)⟫ ⟨asynced := ?⟩ (dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(dirs, files) = abs-keys(ro) ∧ (asynced → boolvar))

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: 7
Proof steps: 25
Used lemmas:
Used spec theorems:
Used simplifier rules:
- aubifs-abs/abs-keys-orphans
- aubifs-inv/ubifs-cons-ri-inj
- aubifs-inv/ubifs-cons-log-cons
- aubifs-inv/ubifs-cons-ro-inodes
- aubifs-inv/ubifs-cons-fo-inodes
- aubifs-replay/orphans-cons-reduce
- aubifs-inv/log-cons-app
- aubifs-abs/abs-files-unused-adrs
- aubifs-abs/abs-dirs-unused-adrs
- set-union/node-store/int-c
- set-union/node-store/int-a
- set-union/node-store/unc
- set-union/node-store/una
- set-union/node-store/intu-empty
- list/address-list-set/a
- list+set/address-list-set/toSet-app
- aubifs-abs/D-ext
- aubifs-abs/in-dirs
- aubifs-abs/at-dirs
- aubifs-abs/dir
- aubifs-abs/F-ext
- aubifs-abs/in-files
- aubifs-abs/at-files
- aubifs-abs/file
- aubifs-abs/abs-files-gc-copy
- aubifs-abs/abs-orphans
- aubifs-abs/abs-keys-orphans2
- aubifs-inv/ubifs-ri-cons