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Proof step 9 from proof abs-dir-h (previous step)

fid = ⌜m⌝ , D(dirs), m ∈ dirs, ∀ ino. ¬ ino ∈ files ∨ ¬ ino ∈ dirs, ∀ ino0. ⌜ino0⌝ = fid → ino0 ∈ files ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
D(dirs), m ∈ dirs, m ∈ files, ∀ ino. ¬ ino ∈ files ∨ ¬ ino ∈ dirs ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ ⌜m⌝ = ⌜m0⌝ ↔ m = m0; (s)