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Proof step 23 from proof inv-evict (previous step)

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

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 2 terms: dentrykey(ino0, name)

Additional information

Used simplifier rules: ⊦ key ∈ pcache[key, pe]; (s)% ⊦ ¬ dentrykey(m, str).data?; (s) Used terms: dentrykey(ino0, name)