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Proof step 235 from proof afs-cons-rename-file-dentry (previous step)

# links(m, dirs0) = m3, entries0[str0] = entries1[str0], entries[str0] = entries0[str0], dirs0[m] = mkdir(m1, md6, m3, m4, entries0), files[entries0[str0]] = mkfile(m0, md0, # links(entries0[str0], dirs0), content1), dirs0[m] = mkdir(m1, md5, m3, m4, entries), dirs0[m] = mkdir(m1, md1, m3, m4, entries1), dirs = dirs0[m, dirs0[m].entries:= (entries1 -- str0).entries:= entries1], afs-cons(dirs0, files), str0 ∈ entries1, entries0[str0] ∈ files, m ∈ dirs0, str0 ∈ entries0, str0 ∈ entries, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪afs_inode_sync#(mkinode(m, md2, true, m3, m4, m1); dirs, files); afs_inode_sync#(mkinode(m, md2, true, # links(m, dirs0), m4, m1); dirs, files); afs_inode_sync#(mkinode(entries[str0], md, false, # links(entries[str0], dirs0), 0, m2); dirs, files); new_child_inode := getinode(entries[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] ∈ dirs0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 236:
files[entries1[str0]] = mkfile(m0, md0, # links(entries1[str0], dirs0), content1), dirs0[m] = mkdir(m1, md1, # links(m, dirs0), m4, entries1), dirs = dirs0, afs-cons(dirs0, files), m ∈ dirs0, entries1[str0] ∈ files, str0 ∈ entries1, ¬ entries1[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(m, md2, true, # links(m, dirs0), m4, m1); dirs, files); afs_inode_sync#(mkinode(entries1[str0], md, false, # links(entries1[str0], dirs0), 0, m2); dirs, files); new_child_inode := getinode(entries1[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)

Rule argument

Additional information

Used simplifier rules: ino ∈ dirs ⊦ dirs[ino] = ad → dirs[ino, ad] = dirs; (s)%⊦ mkdir(m, md, m0, m1, entries).entries:= entries0 = mkdir(m, md, m0, m1, entries0); (s)%⊦ mkdir(m, md, m0, m1, entries) = mkdir(m2, md0, m3, m4, entries0) ↔ m = m2 ∧ md = md0 ∧ m0 = m3 ∧ m1 = m4 ∧ entries = entries0; (ws)