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Proof step 78 from proof inv-rmdir (previous step)

# links(entries0[str], dirs0) = m2 + 1, (ino = entries0[str] ⊃ mkdir(m5, md1, m2, m7, ∅) ;(ino = m ⊃ mkdir(m3, md3, # links(m, dirs0), m0, entries0 -- str) ;mkdir(# entries1, md0, # links(ino, dirs0), # subdirs(ino, dirs0), entries1) ) ) = mkdir(m12, md4, m13, m14, entries2), dirs0[ino] = mkdir(# entries1, md0, # links(ino, dirs0), # subdirs(ino, dirs0), entries1), files[ino] = mkfile(m6, md, m8, content), dirs0[entries0[str]] = mkdir(m5, md1, m2 + 1, m7, ∅), dirs0[m] = mkdir(m3 + 1, md3, # links(m, dirs0), m0 + 1, entries0), afs-cons(dirs0, files), str ∈ entries0, m ∈ dirs0, ROOT_INO ∈ dirs0, entries0[str] ∈ dirs0, ino ∈ dirs0, name ∈ entries2, # links(ino, dirs0) ≤ 1, ino ≠ ROOT_INO ∧ links(ino, dirs0) = ∅ → entries1 = ∅, name ∈ entries1 → entries1[name] ∈ dirs0 ∨ entries1[name] ∈ files, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ entries0[str] = m, entries0[str] = ROOT_INO, ino = entries0[str], entries2[name] ∈ files, entries2[name] ∈ dirs0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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