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Proof step 13 from proof in-evict-other (previous step)

∀ 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, ino0 = ino1

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: store, inst: pcache-wb name: In-insert seq: ⊦ key ∈ pcache[key0, pe] ↔ key = key0 ∨ key ∈ pcache subst: [pe, key0, pcache, key] → [pe, datakey(ino1, ino2), evict(ino0, pcache0), datakey(ino, pageno)] flags: <all paths>

Additional information

Used terms: pe, datakey(ino1, ino2), evict(ino0, pcache0), datakey(ino, pageno)