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Proof step 16 from proof crash-neutral-writepage (previous step)

# buf = VFS_PAGE_SIZE, files[m] = mkfile(m0, md, # links(m, dirs), content), afs-cons(dirs, files), m ∈ files ⊦ ⌊EIO⌋ ∧ ⟨err := EIO; asynced := ?⟩ asynced, ⟨asynced := ?⟩ ( asynced ∧ dirs \ orphans(dirs, files) = dirs \ orphans(dirs, files[m, mkfile(m0, md, # links(m, dirs), content[pageno, buf])]) ∧ files \ orphans(dirs, files) = files[m, mkfile(m0, md, # links(m, dirs), content[pageno, buf])] \ orphans(dirs, files[m, mkfile(m0, md, # links(m, dirs), content[pageno, buf])]))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
# buf = VFS_PAGE_SIZE, files[m] = mkfile(m0, md, # links(m, dirs), content), afs-cons(dirs, files), m ∈ files ⊦ ⟨asynced := ?⟩ ( asynced ∧ dirs \ orphans(dirs, files) = dirs \ orphans(dirs, files[m, mkfile(m0, md, # links(m, dirs), content[pageno, buf])]) ∧ files \ orphans(dirs, files) = files[m, mkfile(m0, md, # links(m, dirs), content[pageno, buf])] \ orphans(dirs, files[m, mkfile(m0, md, # links(m, dirs), content[pageno, buf])])), ⟨err := EIO; asynced := ?⟩ asynced

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊EIO⌋ ; (s)