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Proof step 76 from proof inv-mkdir (previous step)

# links(ino0, dirs) = m0, dirs[ino0] = mkdir(m, md0, m0, m1, entries), dirs[ino0] = mkdir(m, md1, m0, m1, entries0), dent = negdentry(str), err0 = ESUCCESS, inode = mkinode(ino0, md0, true, m0, 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, links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO ⊦ [afs_mkdir#(md; inode, c_inode, dent, err0, dirs, files; asynced)] (afs-cons(dirs, files) → of-cons(of, dirs, files)), str ∈ entries0, str ∈ entries

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 77:
dirs[ino0] = mkdir(m, md1, # links(ino0, dirs), m1, entries0), dent = negdentry(str), err0 = ESUCCESS, inode = mkinode(ino0, md1, true, # links(ino0, dirs), m1, m), afs-cons(dirs, files), ispath(q, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pw(user, md1), px(user, md1), px-parent(user, q, ROOT_INO, dirs, files), ino0 ∈ dirs, ¬ str ∈ entries0, links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO ⊦ [afs_mkdir#(md; inode, c_inode, dent, err0, dirs, files; asynced)] (afs-cons(dirs, files) → of-cons(of, dirs, files))

Rule argument

Additional information

Used simplifier rules: ⊦ mkdir(m, md, m0, m1, entries) = mkdir(m2, md0, m3, m4, entries0) ↔ m = m2 ∧ md = md0 ∧ m0 = m3 ∧ m1 = m4 ∧ entries = entries0; (ws)