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Proof step 9 from proof in-evict-other (previous step)

ino0 = ino1, ∀ ino, pageno, ino0. (datakey(ino, pageno) ∈ evict(ino0, pcache0) ↔ datakey(ino, pageno) ∈ pcache0) ∨ ino = ino0 ⊦ datakey(ino, pageno) ∈ evict(ino0, pcache0[datakey(ino1, ino2), pe]) ↔ datakey(ino, pageno) ∈ pcache0[datakey(ino1, ino2), pe], ino = ino0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: evict-rec-same seq: n = ino ⊦ evict(n, pcache[datakey(ino, pageno), pe]) = evict(n, pcache) subst: [pe, pageno, ino, pcache, n] → [pe, ino2, ino1, pcache0, ino0] flags: <all paths>

Additional information

Used terms: pe, ino2, ino1, pcache0, ino0