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Proof step 2 from proof at-evict-other (previous step)

datakey(ino, pageno) ∈ pcache ⊦ evict(ino0, pcache)[datakey(ino, pageno)] = pcache[datakey(ino, pageno)], ino = ino0

User applied rule structural induction

And obtained the following new goals

Proof step 3:
datakey(ino, pageno) ∈ pcache0[key, pe], ∀ ino, pageno, ino0. datakey(ino, pageno) ∈ pcache0 → evict(ino0, pcache0)[datakey(ino, pageno)] = pcache0[datakey(ino, pageno)] ∨ ino = ino0 ⊦ evict(ino0, pcache0[key, pe])[datakey(ino, pageno)] = pcache0[key, pe][datakey(ino, pageno)], ino = ino0

Rule argument

indvar: pcache

Additional information

Used simplifier rules: evict-base: ⊦ evict(n, ∅) = ∅;%pcache generated by ∅, [ ];;