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Theorem inv-replay

fi = fi0, fo = fo0, fs = fs0, log = log0, boolvar, ubifs-cons(fs0, ri, ro, fi0, fo0, log0), replay-cons-strong(fs0, ri, ro, fi0, fo0, log0), file-node-cons(fs0, ri), orphans-cons(fs0, ri, ro), ri-inj(ri), ri-inj(fi0), log-cons(log0, fs0), ro.inodes?, fo0.inodes? ⊦ ⟪aubifs_replay#(boolvar0; ri0, fi, ro0, fo, fs, log, boolvar1; err)⟫ ( err = ESUCCESS → boolvar1 ∧ ubifs-cons(fs, ri0, ro0, fi, fo, log) ∧ replay-cons-strong(fs, ri0, ro0, fi, fo, log) ∧ file-node-cons(fs, ri0) ∧ orphans-cons(fs, ri0, ro0) ∧ ri-inj(ri0) ∧ ri-inj(fi) ∧ log-cons(log, fs) ∧ ro0.inodes? ∧ fo.inodes?)

Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state: aubifs-refine,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 29
Proof steps: 65
Used lemmas: elim-data, at-diff-ri, replay-prog,
Used spec theorems:
Used simplifier rules:
- aubifs-inv/ubifs-cons-ro-inodes
- aubifs-inv/ubifs-cons-ri-inj
- aubifs-replay/replay-cons-strong-safe
- aubifs-replay/replay-cons-strong-variant1
- aubifs-inv/ubifs-cons-dom-fi
- set-basic/node-index/sub-e
- aubifs-inv/ubifs-cons-fo-inodes
- aubifs-inv/empty-inodes
- aubifs-inv/ubifs-log-nodups
- aubifs-inv/ubifs-cons-log-cons
- aubifs-base/in-dels-ro
- aubifs-inv/ri-cons-del-orphans
- aubifs-base/del-with-emp
- aubifs-replay/replay
- aubifs-inv/ri-cons-in
- aubifs-inv/ri-cons-key
- aubifs-inv/file-node-cons-variant1-01
- aubifs-asm/in-diff-ri
- aubifs-base/datakeys-set
- store+set/node-index/Diff-get
- aubifs-replay/orphans-cons-reduce
- set-basic/node-index/In-empty
- set-basic/node-index/size-zero-01
- store+set/node-index/Dom
- set-basic/node-index/ne-01
- set-basic/node-index/sub-in
- node/elim-05
- key/inodekey-id
- node/test-13
- node/test-12
- node/test-22
- key/sel-02
- aubifs-inv/inodes-nodentry
- key/test-06
- key/test-01
- key/sel-03
- aubifs-inv/inodes-nodata
- key/test-04
- key/test-03
- key/test-09
- key/sel-04
- aubifs-base/in-dels-inode
- key/test-08