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Proof step 37 from proof inv-mkdir (previous step)

dirs0[m] = mkdir(m0, md2, # links(m, dirs0), m2, entries0), dirs = (dirs0[m, mkdir(m0 + 1, md2, # links(m, dirs0), m2 + 1, entries0[str, ino0])] ++ ino0)[ino0, mkdir(0, md, 1, 0, ∅)], ino = inode.ino, inode = mkinode(m, md0, true, # links(m, dirs0), m2, m0), mkdentry(str, ino0).dentry?, afs-cons(dirs[ino, dirs[ino].meta:= inode.meta], files), afs-cons((dirs0[m, mkdir(m0 + 1, md2, # links(m, dirs0), m2 + 1, entries0[str, ino0])] ++ ino0)[ino0, mkdir(0, md, 1, 0, ∅)], files), afs-cons(dirs0, files), m ∈ dirs0, ino ∈ dirs, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪asynced := ?⟫ true, ino0 = 0, ino0 ∈ dirs0, ino0 ∈ files, str ∈ entries0, ino ∈ files

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 38:
dirs0[m] = mkdir(m0, md2, # links(m, dirs0), m2, entries0), ino0 ≠ 0, afs-cons(dirs0, files), afs-cons((dirs0[m, mkdir(m0 + 1, md2, # links(m, dirs0), m2 + 1, entries0[str, ino0])] ++ ino0)[ino0, mkdir(0, md, 1, 0, ∅)], files), afs-cons ((dirs0[m, mkdir(m0 + 1, md2, # links(m, dirs0), m2 + 1, entries0[str, ino0])] ++ ino0)[ino0, mkdir(0, md, 1, 0, ∅)] [m, (dirs0[m, mkdir(m0 + 1, md2, # links(m, dirs0), m2 + 1, entries0[str, ino0])] ++ ino0)[m].meta:= md0 ], files), m ∈ dirs0, ¬ str ∈ entries0, ¬ ino0 ∈ files, ¬ ino0 ∈ dirs0, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪asynced := ?⟫ true

Rule argument

Additional information

Used simplifier rules: ⊦ afs-cons(dirs, files) ∧ ino ∈ dirs → ¬ ino ∈ files; (s)% ⊦ mkdentry(str, m).dentry?; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).meta = md; (s)% ⊦ dirs[ino, ad][ino0] = (ino0 = ino ∧ ino ∈ dirs ⊃ ad;dirs[ino0]); (s)%ino ≠ 0, ¬ ino ∈ dirs ⊦ ino0 ∈ dirs ++ ino ↔ ino0 = ino ∨ ino0 ∈ dirs; (s)% ⊦ ino ∈ dirs[ino0, ad] ↔ ino ∈ dirs; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)