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Proof step 4 from proof in-evict-other (previous step)

key = inodekey(ino1), ∀ ino, pageno, ino0. (datakey(ino, pageno) ∈ evict(ino0, pcache0) ↔ datakey(ino, pageno) ∈ pcache0) ∨ ino = ino0 ⊦ datakey(ino, pageno) ∈ evict(ino0, pcache0[key, pe]) ↔ datakey(ino, pageno) ∈ pcache0[key, pe], ino = ino0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
∀ ino, pageno, ino0. (datakey(ino, pageno) ∈ evict(ino0, pcache0) ↔ datakey(ino, pageno) ∈ pcache0) ∨ ino = ino0 ⊦ datakey(ino, pageno) ∈ evict(ino0, pcache0) ↔ datakey(ino, pageno) ∈ pcache0[inodekey(ino1), pe], ino = ino0

Rule argument

Additional information

Used simplifier rules: evict-rec-inode: ⊦ evict(n, pcache[inodekey(ino), pe]) = evict(n, pcache);