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Proof step 11 from proof at-evict-other (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
datakey(ino, pageno) ∈ pcache0, ∀ ino, pageno, ino0. datakey(ino, pageno) ∈ pcache0 → evict(ino0, pcache0)[datakey(ino, pageno)] = pcache0[datakey(ino, pageno)] ∨ ino = ino0 ⊦ evict(ino0, pcache0)[datakey(ino, pageno)] = pcache0[datakey(ino, pageno)], datakey(ino, pageno) = datakey(ino1, ino2), ino = ino0, ino0 = ino1

Rule argument

Additional information

Used simplifier rules: evict-rec-other: n ≠ ino ⊦ evict(n, pcache[datakey(ino, pageno), pe]) = evict(n, pcache)[datakey(ino, pageno), pe];% ⊦ key ≠ key0 → pcache[key0, pe][key] = pcache[key]; (s)