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Proof step 71 from proof inv-mkdir (previous step)

dirs[ino0] = mkdir(m, md0, # links(ino0, dirs), m1, entries), dent = negdentry((q + str ').last), err = ESUCCESS, err = err0, err1 = ESUCCESS, inode = (ino0 ∈ dirs ⊃ mkinode(ino0, md0, true, # links(ino0, dirs), m1, m) ;mkinode(ino0, files[ino0].meta, false, files[ino0].nlink, 0, files[ino0].size) ), afs-cons(dirs, files), ispath(q, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pw(user, md0), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), ino0 ∈ dirs, ⌊err0⌋ ∨ err0 = ESUCCESS, links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO ⊦ ⟪afs_mkdir#(md; inode, c_inode, dent, err, dirs, files; asynced)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), q + str ' = ε, str ∈ entries

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 72:
dirs[ino0] = mkdir(m, md0, # links(ino0, dirs), m1, entries), dent = negdentry(str), err0 = ESUCCESS, inode = mkinode(ino0, md0, true, # links(ino0, dirs), m1, m), afs-cons(dirs, files), ispath(q, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pw(user, md0), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), ino0 ∈ dirs, ¬ str ∈ entries, links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO ⊦ ⟪afs_mkdir#(md; inode, c_inode, dent, err0, dirs, files; asynced)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ p + str ' ≠ ε; (s)%a: ⊦ (p + p0) + p1 = p + p0 + p1; from specification list[path]% ⊦ (p + str ').last = str; (s)