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Proof step 64 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 ⊦ m = ROOT_INO, m ∈ dirs, (¬ m ∈ orphans(dirs, files) → ino ≠ m) ∧ (¬ ino ∈ orphans(dirs, files) → files[ino] = ((files \ (orphans(dirs, files) -- m)) -- m)[ino]), ino ∈ files \ (orphans(dirs, files) -- m) ∧ ino ≠ m

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 65:
# links(m, dirs) = 0, files[m] = mkfile(m0, md, 0, content), afs-cons(dirs, files), m ∈ files, ino ∈ files ⊦ m = ROOT_INO, m ∈ dirs, (¬ m ∈ orphans(dirs, files) → ino ≠ m) ∧ (¬ ino ∈ orphans(dirs, files) → files[ino] = ((files \ (orphans(dirs, files) -- m)) -- m)[ino]), ¬ ino ∈ orphans(dirs, files) ∧ ino ≠ m

Rule argument

Additional information

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