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Theorem replayorphans-prepost

ri = ri0, ro0 = ro, ks = ro, err = ESUCCESS, ks.inodes? ⊦ ⟪aubifs_replayorphans#(fi, fo, fs, log, boolvar; ks, err, ri, ro)⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → ks = ro ∧ ro = ∅ ∧ ri = ri0 ⊖ ro0))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 12
Proof steps: 53
Used lemmas: elim-inode, elim-data, at-del-ri, at-diff-ri, replayorphans,
Used spec theorems:
- store/node-index/Extension
- aubifs-base/dels-with-data
- set-union/node-index/Difference
- aubifs-base/at-dels-ro-nodata
- aubifs-base/in-dels-ro
- set-basic/node-index/Extension
Used simplifier rules:
- aubifs-base/del-with-emp
- set-basic/node-index/sub-e
- aubifs-inv/empty-inodes
- set-basic/node-index/sub-idem
- aubifs-base/datakeys-0
- nat-basic/c
- nat-basic/a
- nat-basic/ref
- nat-basic/s-04
- nat/ls-01
- nat-basic/one-01
- nat/le-def
- set-union/node-index/del-size
- aubifs-inv/inodes-del
- set-union/node-index/sub-del-03
- aubifs-base/datakeys-set-del
- store+set/node-index/Diff-del-rw
- aubifs-inv/inodes-in
- aubifs-base/datakeys-set
- key/inodekey-id
- key/test-09
- key/sel-03
- aubifs-inv/inodes-nodata
- key/disj-01
- key/sel-04
- store/node-index/notmemlookup
- aubifs-base/at-dels-ro-nodata
- aubifs-base/in-dels-ro
- set-union/node-index/Delete
- aubifs-base/datakeys
- aubifs-asm/in-diff-ri
- store/node-index/Del-in
- set-basic/node-index/size-zero
- set-basic/node-index/size-zero-01
- set-basic/node-index/ne-01
- set-basic/node-index/sub-in
- set-basic/node-index/In-empty