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Theorem initialization

pageno = LEB_SIZE, pageno0 = n ⊦ ⟪aubifs_format#(pageno0, boolvar0, pageno, md; ri, fi, ro, fo, fs, log, boolvar1; err)⟫ ( ( err = ESUCCESS → ⟨afs_format#(n, boolvar0, pageno, md; dirs0; files0, asynced, err0)⟩ ((dirs0 = abs-dirs(fs, ri) ∧ files0 = abs-files(fs, ri) ∧ orphans(dirs0, files0) = abs-keys(ro) ∧ (asynced → boolvar1)) ∧ err = err0)) ∧ ( err ≠ ESUCCESS → (∀ dirs, files, boolvar. ⟨afs_format#(n, boolvar0, pageno, md; dirs0; files0, asynced, err0)⟩ (dirs = dirs0 ∧ files = files0 ∧ (boolvar ↔ asynced) ∧ err = err0))))

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: 10
Proof steps: 154
Used lemmas: in-ri-dentry-inode, mkdir-inj, at-ri,
Used spec theorems:
- set-basic/dir-heap-refset/Extension
- afs-base/orphans
Used simplifier rules:
- error-class/esuccess
- aubifs-inv/ri-cons-empty
- aubifs-inv/inodenode-cons
- key/test-02
- key/sel-04
- list/address-list-set/a
- list/address-list-set/Nil
- list/address-list-set/Last
- aubifs-base/data-in-empty
- node-store/in-insert
- aubifs-inv/inodekey-cons
- node/test-06
- node/sel-05
- aubifs-abs/abs-keys-empty
- aubifs-abs/F-ext
- set-basic/dir-heap-refset/size-zero
- set-basic/dir-heap-refset/size-zero-01
- set-basic/dir-heap-refset/In-empty
- afs-base/valid-ino
- aubifs-abs/in-dirs
- heap/file-heap/in-emp
- node/sel-16
- node/sel-15
- node/sel-06
- node/sel-17
- aubifs-abs/dir
- heap/dir-heap/at-write
- node/sel-11
- aubifs-asm/at-fs
- store/node-index/insin
- heap/dir-heap/in-alloc
- heap/dir-heap/in-emp
- root-ino/neq-0
- heap/dir-heap/in-write
- aubifs-abs/D-ext
- aubifs-abs/C-ext
- store/dir-entries/In-empty
- store/node-index/In-empty
- aubifs-refine/in-insert-ri-equiv
- key/inj-03
- error-class/not-esuccess
- error/disj-91
- error/disj-35
- aubifs-base/new-one
- store/node-store/In-empty
- list-dup/address-list-set/c
- error-class/ecommit