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Proof step 933 from proof inv-renam (previous step)

dirs[ino1] = mkdir(m0, md0, # links(ino1, dirs), m3, entries0), dirs[ino] = mkdir(m, md, # links(ino, dirs), m2, entries), files[entries0[str]] = mkfile(m1, md1, m4, content), dent = mkdentry(str0, entries[str0]), err = ESUCCESS, inode = mkinode(ino, md, true, # links(ino, dirs), m2, m), ¬ isdir, p_inode = mkinode(entries0[str], md1, false, m4, 0, m1), dom of < ino2, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), ispath(q0, ROOT_INO, ino, dirs, files), of-cons(of, dirs, files), pw(user, md0), px(user, md), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), px-parent(user, q0, ROOT_INO, dirs, files), str0 ∈ entries, ino ∈ dirs, entries0[str] ∈ files, ino1 ∈ dirs, str ∈ entries0, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO ⊦ ⟪vfs_may_delete_check#(ino, user, dirs, files, asynced; inode, isdir, dent, p_inode, err); new_inode := inode; new_dent := dent; new_dent_inode := p_inode; if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then let dent = new_dent in {old_inode := (ino1 ∈ dirs ⊃ mkinode(ino1, md0, true, # links(ino1, dirs), m3, m0) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ); old_dent := mkdentry(str, entries0[str]); old_dent_inode := getinode(mkdentry(str, entries0[str]).ino, dirs, files); afs_rename#(; old_inode, new_inode, old_dent_inode, new_dent_inode, old_dent, new_dent, err, dirs, files; asynced); if dent.dentry? then vfs_put_inode#(new_dent_inode, of, asynced; err, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), entries0[str] ∈ dirs, q + str ' ⊑ q0 + str0 '

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 934:
dirs[ino1] = mkdir(m0, md0, # links(ino1, dirs), m3, entries0), dirs[ino] = mkdir(m, md, # links(ino, dirs), m2, entries), files[entries0[str]] = mkfile(m1, md1, # links(entries0[str], dirs), content), dent = mkdentry(str0, entries[str0]), err = ESUCCESS, inode = mkinode(ino, md, true, # links(ino, dirs), m2, m), ¬ isdir, p_inode = mkinode(entries0[str], md1, false, # links(entries0[str], dirs), 0, m1), dom of < ino2, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), ispath(q0, ROOT_INO, ino, dirs, files), of-cons(of, dirs, files), pw(user, md0), px(user, md), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), px-parent(user, q0, ROOT_INO, dirs, files), str0 ∈ entries, ino ∈ dirs, entries0[str] ∈ files, ino1 ∈ dirs, str ∈ entries0, ¬ entries0[str] ∈ dirs, ¬ q + str ' ⊑ q0 + str0 ', links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO ⊦ ⟪vfs_may_delete_check#(ino, user, dirs, files, asynced; inode, isdir, dent, p_inode, err); new_inode := inode; new_dent := dent; new_dent_inode := p_inode; if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then let dent = new_dent in {old_inode := (ino1 ∈ dirs ⊃ mkinode(ino1, md0, true, # links(ino1, dirs), m3, m0) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ); old_dent := mkdentry(str, entries0[str]); old_dent_inode := getinode(mkdentry(str, entries0[str]).ino, dirs, files); afs_rename#(; old_inode, new_inode, old_dent_inode, new_dent_inode, old_dent, new_dent, err, dirs, files; asynced); if dent.dentry? then vfs_put_inode#(new_dent_inode, of, asynced; err, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ afs-cons(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