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Proof step 209 from proof overwrite-write-page-dirty (previous step)

((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), files[ino0] = mkfile(m2, md0, m3, content0), ino ∈ icache, ino0 ∈ files, ino ∈ files ⊦ n ∈ content0 ⊕ mkcontent(ino0, pcache) ↔ n ∈ content0 ∨ n ∈ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(true, buf)]), ino0 ∈ icache

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 210:
files[ino0] = mkfile(m2, md0, m3, content0), ((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), ino ∈ files, ino0 ∈ files, ino ∈ icache ⊦ n ∈ content0 ⊕ mkcontent(ino0, pcache) ↔ n ∈ content0 ∨ datakey(ino0, n) ∈ pcache[datakey(ino, m), mkpentry(true, buf)], ino0 ∈ icache

Rule argument

Additional information

Used simplifier rules: in-mkcontent: ⊦ n ∈ mkcontent(ino, pcache) ↔ datakey(ino, n) ∈ pcache;