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Theorem replay-one-update

⊦ ri-closed(ri, fs, ro) ∧ ri-cons(ri, fs) ∧ key ∈ ri ∧ ro.inodes? ∧ orphans-cons(fs, ri, ro) → replay-one(adr, fs[ri[key]], ri ⊖ ro) = ri[key, adr] ⊖ ro

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: replay-log-gc-copy, replay-safe-gc-copy,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 18
Proof steps: 39
Used lemmas: replay-orphans-dentry, replay-dentry, replay-drop-data, replay-orphans-data, replay-data, replay-orphans-inode, orphans-cons, replay-ino,
Used spec theorems:
- aubifs-inv/ri-cons
- aubifs-inv/key-cons
- store/node-index/notin-del-notin
- aubifs-inv/ri-closed
Used simplifier rules:
- key/test-02
- key/test-05
- key/test-08
- node/elim-03
- node/test-06
- key/sel-04
- node/sel-15
- set-basic/node-index/size-zero-01
- set-basic/node-index/ne-01
- aubifs-base/del-put-again
- aubifs-base/del-del-again
- key/test-04
- key/test-03
- key/test-09
- node/elim-05
- node/test-22
- aubifs-base/in-dels-inode
- key/sel-03
- aubifs-inv/datanode-closed
- aubifs-inv/inodes-nodata
- key/test-06
- key/test-01
- key/test-07
- node/elim-02
- node/test-02
- key/sel-02
- aubifs-inv/dentrynode-closed
- aubifs-inv/inodes-nodentry
- aubifs-inv/inodekey-cons