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Proof step 351 from proof afs-cons-rename-dir-dentry (previous step)

dirs0[m] = mkdir(m1, md1, # links(m, dirs0), m4, entries0), dirs0[entries0[str0]] = mkdir(m3, md3, # links(entries0[str0], dirs0), m6, ∅), dirs = dirs0[m, mkdir(m1, md2, # links(m, dirs0), m4, entries0)], entries0[str0] ≠ ROOT_INO, afs-cons(dirs0, files), str0 ∈ entries0, m ∈ dirs0, entries0[str0] ∈ dirs0, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪afs_inode_sync#(mkinode(m, md2, true, # links(m, dirs0), m4, m1); dirs, files); afs_inode_sync#(mkinode(entries0[str0], md, true, # links(entries0[str0], dirs0), m6, m3); dirs, files); new_child_inode := getinode(entries0[str0], dirs, files); old_parent_inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); new_parent_inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); err := ESUCCESS; asynced := ?⟫ afs-cons(dirs, files)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 352:
dirs0[entries0[str0]] = mkdir(m3, md3, # links(entries0[str0], dirs0), m6, ∅), dirs0[m] = mkdir(m1, md1, # links(m, dirs0), m4, entries0), dirs = dirs0[m, mkdir(m1, md2, # links(m, dirs0), m4, entries0)], inode = mkinode(m, md2, true, # links(m, dirs0), m4, m1), afs-cons(dirs0, files), entries0[str0] ∈ dirs0, m ∈ dirs0, str0 ∈ entries0, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪let ino = inode.ino in if ino ∈ files then {files[ino].size := inode.size; files[ino].meta := inode.meta} else if ino ∈ dirs then dirs[ino].meta := inode.meta; afs_inode_sync#(mkinode(entries0[str0], md, true, # links(entries0[str0], dirs0), m6, m3); dirs, files); new_child_inode := getinode(entries0[str0], dirs, files); old_parent_inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); new_parent_inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); err := ESUCCESS; asynced := ?⟫ afs-cons(dirs, files), entries0[str0] = ROOT_INO

Rule argument

pos: right 1

Additional information

Used simplifier rules: internal-inode-sync: ⊦ ;