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Proof step 15 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) = datakey(ino1, ino2) ∨ datakey(ino, pageno) ∈ evict(ino0, pcache0) ↔ datakey(ino, pageno) ∈ pcache0[datakey(ino1, ino2), pe], ino = ino0, ino0 = ino1

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Rule argument

fma: datakey(ino, pageno) = datakey(ino1, ino2)

Additional information

Used simplifier rules: ⊦ datakey(m, m0) = datakey(m1, m2) ↔ m = m1 ∧ m0 = m2; (ws)% ⊦ key ≠ key0 → (key ∈ pcache[key0, pe] ↔ key ∈ pcache); (s)% ⊦ key ∈ pcache[key0, pe] ↔ key = key0 ∨ key ∈ pcache; (ws) Used formulas: datakey(ino, pageno) = datakey(ino1, ino2)