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Proof step 114 from proof inv-rmdir (previous step)

# links(m, dirs) = dirs[m].nlink, # links(entries[str], dirs) = m1, dirs[m].nsubdirs = 0, dirs[entries[str]] = mkdir(m0, md1, m1, m2, ∅), dirs[m] = mkdir(dirs[m].size, md2, dirs[m].nlink, 0, entries), entries[str] = dirs[m].entries[str], dirs[entries[str]] = mkdir(m0, md, m1, m2, entries0), entries0 = ∅, afs-cons(dirs, files), entries[str] ∈ dirs, str ∈ entries, m ∈ dirs, str ∈ dirs[m].entries, 1 ≤ dirs[m].size, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ dirs[m].size = 0, entries[str] = ROOT_INO

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 115:
# links(m, dirs) = dirs[m].nlink, dirs[m].nsubdirs = 0, entries[str] = dirs[m].entries[str], dirs[m] = mkdir(dirs[m].size, md2, dirs[m].nlink, 0, entries), dirs[entries[str]] = mkdir(m0, md, # links(entries[str], dirs), m2, ∅), afs-cons(dirs, files), str ∈ dirs[m].entries, m ∈ dirs, str ∈ entries, entries[str] ∈ dirs, 1 ≤ dirs[m].size, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ dirs[m].size = 0, entries[str] = ROOT_INO

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)