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Proof step 1002 from proof overwrite-write-page-clean (previous step)

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

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 1003:
files[ino0] = mkfile(m4, md1, m5, content1), files[ino] = mkfile(m2, md0, m3, content0), ino0 ∈ files, ino ∈ files, n ∈ mkcontent(ino0, pcache) ⊦ (content1 ⊕ mkcontent(ino0, pcache))[n] = (content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[n], datakey(ino, n) = datakey(ino, m), ino0 = ino, ino ∈ icache, ino0 ∈ icache, datakey(ino, n) ∈ pcache, n ∈ content0
Proof step 1009:
files[ino0] = mkfile(m4, md1, m5, content1), files[ino] = mkfile(m2, md0, m3, content0), ino0 ∈ files, ino ∈ files ⊦ (content1 ⊕ mkcontent(ino0, pcache))[n] = (content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[n], datakey(ino, n) = datakey(ino, m), ino0 = ino, ino ∈ icache, ino0 ∈ icache, datakey(ino, n) ∈ pcache, n ∈ content0, n ∈ mkcontent(ino0, pcache)

Rule argument

fma: n ∈ mkcontent(ino0, pcache)

Additional information

Used formulas: n ∈ mkcontent(ino0, pcache)