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Proof step 241 from proof afs-cons-rename-file-dentry (previous step)

dirs0[m] = mkdir(m1, md1, # links(m, dirs0), m4, entries1), files0[entries1[str0]] = mkfile(m0, md0, # links(entries1[str0], dirs0), content1), dirs = dirs0, files = files0[ino, files0[ino].size:= inode.size][ino, files0[ino, files0[ino].size:= inode.size][ino].meta:= inode.meta], ino = inode.ino, inode = mkinode(m, md2, true, # links(m, dirs0), m4, m1), afs-cons(dirs0, files0), ino ∈ files0, str0 ∈ entries1, entries1[str0] ∈ files0, m ∈ 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(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), entries1[str0] ∈ dirs0

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ files[ino, af][ino, af0] = files[ino, af0]; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).meta = md; (s)% ⊦ afs-cons(dirs, files) ∧ ino ∈ dirs → ¬ ino ∈ files; (s)% ⊦ files[ino, af][ino0] = (ino0 = ino ∧ ino ∈ files ⊃ af;files[ino0]); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)