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Proof step 21 from proof at-pcache-overwrite-other (previous step)

files[ino] = mkfile(m, md, m0, content), pcache[key0, pe][datakey(ino, n)] = mkpentry(boolvar, buf), datakey(ino, n) ∈ pcache[key0, pe], n ∈ content ⊕ mkcontent(ino, pcache[key0, pe]), n ∈ content ⊕ mkcontent(ino, pcache) ⊦ buf = (content ⊕ mkcontent(ino, pcache))[n], ino = key0.ino

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 22:
pcache[key0, pe][datakey(ino, n)] = mkpentry(boolvar, buf), files[ino] = mkfile(m, md, m0, content), n ∈ content ⊕ mkcontent(ino, pcache), n ∈ content ⊕ mkcontent(ino, pcache[key0, pe]), datakey(ino, n) ∈ pcache[key0, pe] ⊦ buf = (content ⊕ mkcontent(ino, pcache))[n], datakey(ino, n) = key0, ino = key0.ino

Rule argument

fma: datakey(ino, n) = key0

Additional information

Used simplifier rules: ⊦ pcache[key, pe][key] = pe; (s)% ⊦ datakey(m, m0).ino = m; (s) Used formulas: datakey(ino, n) = key0