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Proof step 14 from proof inv-evict (previous step)

key ∈ evict(ino0, pcache0), key ∈ evict(ino0, pcache0) ∧ (∀ key. key ∈ pcache0 → key.data?) → key.data? ∧ key.ino ≠ ino0, ∀ key, ino. key ∈ evict(ino, pcache0) ∧ (∀ key. key ∈ pcache0 → key.data?) → key.data? ∧ key.ino ≠ ino, ∀ key. key ∈ pcache0[datakey(ino0, ino1), pe] → key.data? ⊦ key.data? ∧ key.ino ≠ ino0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
key ∈ evict(ino0, pcache0), key0 ∈ pcache0, ∀ key. key ∈ pcache0[datakey(ino0, ino1), pe] → key.data?, ∀ key, ino. key ∈ evict(ino, pcache0) ∧ (∀ key. key ∈ pcache0 → key.data?) → key.data? ∧ key.ino ≠ ino ⊦ key0.data?, key.data? ∧ key.ino ≠ ino0

Proof step 14 from proof inv-evict (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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