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Proof step 988 from proof overwrite-write-page-clean (previous step)

files[ino] = mkfile(m2, md0, m3, content0), files[ino0] = mkfile(m4, md1, m5, content1), pcache[datakey(ino0, n)] = mkpentry(boolvar, buf0), datakey(ino0, n) ∈ pcache, ino ∈ files, ino0 ∈ files, n ∈ content0[m, buf] ⊦ buf0 = (content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[n], datakey(ino, n) = datakey(ino, m), datakey(ino, n) ∈ pcache, ino0 ∈ icache, ino ∈ icache

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 989:
pcache[datakey(ino0, n)] = mkpentry(boolvar, buf0), files[ino0] = mkfile(m4, md1, m5, content1), files[ino] = mkfile(m2, md0, m3, content0), n ∈ content0[m, buf], ino0 ∈ files, ino ∈ files, datakey(ino0, n) ∈ pcache, n ∈ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]) ⊦ buf0 = (content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[n], datakey(ino, n) = datakey(ino, m), ino ∈ icache, ino0 ∈ icache, datakey(ino, n) ∈ pcache

Rule argument

fma: n ∈ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)])

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) Used formulas: n ∈ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)])