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Proof step 12 from proof crash-neutral-writepage (previous step)

# buf = VFS_PAGE_SIZE, files[m] = mkfile(m0, md, m1, content), afs-cons(dirs, files), m ∈ files ⊦ ⟨asynced := ?⟩ ( asynced ∧ dirs \ orphans(dirs, files) = dirs \ orphans(dirs, files[m, files[m].content:= content[pageno, buf]]) ∧ files \ orphans(dirs, files) = files[m, files[m].content:= content[pageno, buf]] \ orphans(dirs, files[m, files[m].content:= content[pageno, buf]])), ⟨fail#(; ; err); asynced := ?⟩ asynced

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
# buf = VFS_PAGE_SIZE, files[m] = mkfile(m0, md, # links(m, dirs), content), afs-cons(dirs, files), m ∈ files ⊦ ⟨fail#(; ; err); 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])]))

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content).content:= content0 = mkfile(m, md, m0, content0); (s)%afs-cons-file-nlink: ⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n, content) → # links(ino, dirs) = n; (forward) from specification afs-base