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Proof step 66 from proof overwrite-write-page-dirty (previous step)

icache[ino] = mkientry(boolvar, mkinode(m0, md, false, m1, m2, m3)), files[ino] = mkfile(m4, md0, m5, content), ino ∈ icache, ino ∈ files ⊦ (content ⊕ mkcontent(ino, pcache))[n] = (content ⊕ mkcontent(ino, pcache[datakey(ino, m), mkpentry(true, buf)]))[n], n = m, n ∈ mkcontent(ino, pcache[datakey(ino, m), mkpentry(true, buf)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 67:
files[ino] = mkfile(m4, md0, m5, content), icache[ino] = mkientry(boolvar, mkinode(m0, md, false, m1, m2, m3)), ino ∈ files, ino ∈ icache ⊦ (content ⊕ mkcontent(ino, pcache))[n] = content[n], datakey(ino, n) = datakey(ino, m), datakey(ino, n) ∈ pcache

Rule argument

Additional information

Used simplifier rules: at-overwrite-content-old: ⊦ ¬ n ∈ content1 → (content0 ⊕ content1)[n] = content0[n];%in-mkcontent: ⊦ n ∈ mkcontent(ino, pcache) ↔ datakey(ino, n) ∈ pcache;% ⊦ key ∈ pcache[key0, pe] ↔ key = key0 ∨ key ∈ pcache; (ws)