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Proof step 852 from proof overwrite-write-page-clean (previous step)

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

Heuristic weak cut applied rule cut formula

And closed the goal!

Rule argument

fma: m ∈ mkcontent(ino, pcache[datakey(ino, m), mkpentry(false, buf)])

Additional information

Used simplifier rules: at-overwrite-content-new: ⊦ n ∈ content1 → (content0 ⊕ content1)[n] = content1[n];%at-mkcontent: ⊦ mkcontent(ino, pcache)[n] = pcache[datakey(ino, n)].page;%at-overwrite-content-old: ⊦ ¬ n ∈ content1 → (content0 ⊕ content1)[n] = content0[n];% ⊦ content[n, buf][n] = buf; (s)% ⊦ pcache[key, pe][key] = pe; (s)% ⊦ mkpentry(boolvar, buf).page = buf; (s) Used formulas: m ∈ mkcontent(ino, pcache[datakey(ino, m), mkpentry(false, buf)])