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Proof step 156 from proof refine-writepage (previous step)

# buf = VFS_PAGE_SIZE, boolvar2 ↔ boolvar, dirs = abs-dirs(fs, ri), err = err0, files = abs-files(fs, ri), ro0 = orphans(fs, ri), orphans(fs, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(m) ∈ ri, ⌊err0⌋ , asynced → boolvar0 ⊦ ⟨afs_writepage#(mkinode(m, md, boolvar1, m0, m1, m2), pageno, buf, dirs; err1, files; asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro0) ∧ (asynced → boolvar2) ∧ err = err1), fs[ri[inodekey(m)]].directory

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 157:
# buf = VFS_PAGE_SIZE, files = abs-files(fs, ri), fo.inodes?, orphans(fs, ri).inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(m) ∈ ri, ⌊err0⌋ , ¬ fs[ri[inodekey(m)]].directory, asynced → boolvar0 ⊦ ⟨afs_writepage#(mkinode(m, md, boolvar1, m0, m1, m2), pageno, buf, abs-dirs(fs, ri); err1, files; asynced)⟩ (files = abs-files(fs, ri) ∧ (asynced → boolvar2) ∧ err0 = err1)

Rule argument

Additional information

Used simplifier rules: ⊦ abs-keys(orphans(fs0, ri0)) = abs-keys(orphans(fs, ri)) ↔ orphans(fs0, ri0) = orphans(fs, ri); (s)%⊦ afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)) → orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(orphans(fs, ri)); (s)