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Proof step 27 from proof synced-dirs-add-new-clean-inode (previous step)

pcache[datakey(ino, n)] = mkpentry(true, buf), ino ∈ dirs, datakey(ino, n) ∈ pcache, ino ∈ dirs → (ino ∈ icache → ¬ icache[ino].dirty) ∧ (∀ n. datakey(ino, n) ∈ pcache → ¬ pcache[datakey(ino, n)].dirty), ∀ ino0. ino0 ∈ dirs → (ino0 ∈ icache → ¬ icache[ino0].dirty) ∧ (∀ n. datakey(ino0, n) ∈ pcache → ¬ pcache[datakey(ino0, n)].dirty) ⊦ ino ∈ icache

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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