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Proof step 8 from proof afs-cons-create-ino (previous step)

dirs[m] = mkdir(m0, md0, m1, m2, entries), dent = negdentry(str), afs-cons(dirs, files), m ∈ dirs, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪afs_create_ino#(m, md, ino; dent, err, dirs, files)⟫ afs-cons(dirs, files), ino = 0, ino ∈ files, ino ∈ dirs, str ∈ entries

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
dirs[m] = mkdir(m0, md0, # links(m, dirs), m2, entries), dent = negdentry(str), ino ≠ 0, afs-cons(dirs, files), m ∈ dirs, ¬ ino ∈ files, ¬ ino ∈ dirs, ¬ str ∈ entries, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪afs_create_ino#(m, md, ino; dent, err, dirs, files)⟫ afs-cons(dirs, files)

Rule argument

Additional information

Used simplifier rules: afs-cons-dir-nlink: ⊦ afs-cons(dirs, files) ∧ ino ∈ dirs ∧ dirs[ino] = mkdir(n0, md, n, n1, entries) → # links(ino, dirs) = n; (forward) from specification afs-base