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Proof step 69 from proof crash-neutral-evict (previous step)

# links(m, dirs) = 0, files[m] = mkfile(m0, md, 0, content), afs-cons(dirs, files), ino ∈ files, m ∈ files, ino ∈ files \ (orphans(dirs, files) -- m) ⊦ ino = m, m = ROOT_INO, m ∈ dirs, (¬ m ∈ orphans(dirs, files) → ino ≠ m) ∧ (¬ ino ∈ orphans(dirs, files) → files[ino] = (files \ (orphans(dirs, files) -- m))[ino])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 70:
# links(m, dirs) = 0, files[m] = mkfile(m0, md, 0, content), afs-cons(dirs, files), m ∈ files, ino ∈ files ⊦ files[ino] = (files \ (orphans(dirs, files) -- m))[ino], ino = m, m = ROOT_INO, m ∈ dirs, ino ∈ orphans(dirs, files)

Rule argument

Additional information

Used simplifier rules: ⊦ ino ∈ ns -- ino0 ↔ ino ≠ ino0 ∧ ino ∈ ns; (s)% ⊦ ino ∈ files \ ns ↔ ino ∈ files ∧ ¬ ino ∈ ns; (s)