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Proof step 6 from proof crash-neutral-truncate (previous step)

files[m] = mkfile(m0, md0, m1, content), asynced, dirs0 = dirs \ orphans(dirs, files), files0 = files \ orphans(dirs, files), inode = mkinode(m, md, false, m1, 0, m2), afs-cons(dirs, files), m ∈ files, buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE ⊦ ⟨afs_truncate#(n, m2 / VFS_PAGE_SIZE; buf-opt, inode, asynced0, err, dirs, files, asynced)⟩ (asynced ∧ dirs0 = dirs \ orphans(dirs, files) ∧ files0 = files \ orphans(dirs, files))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
files[m] = mkfile(m0, md0, # links(m, dirs), content), asynced, dirs0 = dirs \ orphans(dirs, files), files0 = files \ orphans(dirs, files), inode = mkinode(m, md, false, # links(m, dirs), 0, m2), afs-cons(dirs, files), m ∈ files, buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE ⊦ ⟨afs_truncate#(n, m2 / VFS_PAGE_SIZE; buf-opt, inode, asynced0, err, dirs, files, asynced)⟩ (asynced ∧ dirs0 = dirs \ orphans(dirs, files) ∧ files0 = files \ orphans(dirs, files))

Rule argument

Additional information

Used simplifier rules: 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