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Proof step 10 from proof afs-cons-rename-file-dentry (previous step)

old_parent_inode.nlink = dirs[old_parent_inode.ino].nlink, new_parent_inode.nlink = dirs[new_parent_inode.ino].nlink, old_parent_inode.nsubdirs = dirs[old_parent_inode.ino].nsubdirs, new_parent_inode.nsubdirs = dirs[new_parent_inode.ino].nsubdirs, old_parent_inode.size = dirs[old_parent_inode.ino].size, new_parent_inode.size = dirs[new_parent_inode.ino].size, ¬ boolvar, m = dirs[old_parent_inode.ino].entries[str0], m0 = files[m].nlink, m1 = 0, new_child_inode = mkinode(dirs[new_parent_inode.ino].entries[str], md, false, files[dirs[new_parent_inode.ino].entries[str]].nlink, 0, m2), new_dent = mkdentry(str, dirs[new_parent_inode.ino].entries[str]), old_child_inode = mkinode(m, md0, boolvar, m0, m1, m3), old_dent = mkdentry(str0, m), old_parent_inode.directory, new_parent_inode.directory, afs-cons(dirs, files), m ∈ files, dirs[new_parent_inode.ino].entries[str] ∈ files, old_parent_inode.ino ∈ dirs, new_parent_inode.ino ∈ dirs, str0 ∈ dirs[old_parent_inode.ino].entries, str ∈ dirs[new_parent_inode.ino].entries, new_parent_inode.ino = old_parent_inode.ino → new_parent_inode.meta = old_parent_inode.meta, links(old_parent_inode.ino, dirs) ≠ ∅ ∨ old_parent_inode.ino = ROOT_INO, links(new_parent_inode.ino, dirs) ≠ ∅ ∨ new_parent_inode.ino = ROOT_INO ⊦ ⟪afs_rename#(; old_parent_inode, new_parent_inode, old_child_inode, new_child_inode, old_dent, new_dent, err, dirs, files; asynced)⟫ afs-cons(dirs, files)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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