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Proof step 2 from proof crash-neutral-truncate (previous step)

asynced, dirs0 = dirs \ orphans(dirs, files), files0 = files \ orphans(dirs, files), afs-cons(dirs, files), pre-truncate(inode, n, pageno, buf-opt, dirs, files) ⊦ ⟨afs_truncate#(n, pageno; 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 3:
inode.nlink = files[inode.ino].nlink, inode.nsubdirs = 0, asynced, dirs0 = dirs \ orphans(dirs, files), files0 = files \ orphans(dirs, files), afs-cons(dirs, files), inode.ino ∈ files, ¬ inode.directory, buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE ⊦ ⟨afs_truncate#(n, inode.size / 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: ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)%⊦ valid-file-inode(inode, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ inode.nlink = files[inode.ino].nlink ∧ inode.nsubdirs = 0 ∧ ¬ inode.directory; (s)%⊦ pre-truncate(inode, n, pageno, buf-opt, dirs, files) ↔ valid-file-inode(inode, dirs, files) ∧ pageno = inode.size / VFS_PAGE_SIZE ∧ (buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE); (s)