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Proof step 236 from proof overwrite-write-page-dirty (previous step)

files[ino] = mkfile(m2, md0, m3, content0), ino ∈ files ⊦ n = m, ino ∈ icache, (n ∈ (content0 ⊕ mkcontent(ino, pcache))[m, buf] ↔ n ∈ content0 ⊕ mkcontent(ino, pcache[datakey(ino, m), mkpentry(true, buf)])) ∧ (content0 ⊕ mkcontent(ino, pcache))[m, buf][n] = (content0 ⊕ mkcontent(ino, pcache[datakey(ino, m), mkpentry(true, buf)]))[n]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 237:
files[ino] = mkfile(m2, md0, m3, content0), ino ∈ files ⊦ n = m, ino ∈ icache, (n ∈ content0 ⊕ mkcontent(ino, pcache) ↔ n ∈ content0 ⊕ mkcontent(ino, pcache[datakey(ino, m), mkpentry(true, buf)])) ∧ (content0 ⊕ mkcontent(ino, pcache))[n] = (content0 ⊕ mkcontent(ino, pcache[datakey(ino, m), mkpentry(true, buf)]))[n]

Rule argument

Additional information

Used simplifier rules: ⊦ n ≠ n0 → content[n0, buf][n] = content[n]; (s)% ⊦ n ≠ n0 → (n ∈ content[n0, buf] ↔ n ∈ content); (s)