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Proof step 38 from proof overwrite-write-page-dirty (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 39:
files[ino] = mkfile(m4, md0, m5, content), icache[ino] = mkientry(boolvar, mkinode(m0, md, true, m1, m2, m3)), ino ∈ icache, ino ∈ files, datakey(ino, n) ∈ pcache[datakey(ino, m), mkpentry(true, buf)] ⊦ (content ⊕ mkcontent(ino, pcache))[n] = pcache[datakey(ino, m), mkpentry(true, buf)][datakey(ino, n)].page, n = m

Rule argument

Additional information

Used simplifier rules: at-mkcontent: ⊦ mkcontent(ino, pcache)[n] = pcache[datakey(ino, n)].page;%in-mkcontent: ⊦ n ∈ mkcontent(ino, pcache) ↔ datakey(ino, n) ∈ pcache;