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Proof step 2 from proof root-not-orphan (previous step)

ROOT_INO ∈ orphans(dirs, files) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
ROOT_INO ∈ orphans(dirs, files) ⊦ # orphans(dirs, files) = 0, orphans(dirs, files) = ∅

Rule argument

Additional information

Used simplifier rules: size-zero-01: ⊦ ns ≠ ∅ → # ns ≠ 0; (forward) from specification set-basic[dir-heap-refset]%ne-01: ⊦ ino ∈ ns → ns ≠ ∅; (forward) from specification set-basic[dir-heap-refset]