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Proof step 530 from proof overwrite-write-page-clean (previous step)

files[ino0] = mkfile(m6, md1, m7, content), icache[ino0] = mkientry(boolvar, mkinode(m0, md, true, m1, m4, m5)), files[ino] = mkfile(m2, md0, m3, content0), datakey(ino, n) ∈ pcache, datakey(ino, n) ∈ pcache[datakey(ino, m), mkpentry(false, buf)], ino0 ∈ icache, ino ∈ files, ino0 ∈ files ⊦ n ∈ content ⊕ mkcontent(ino0, pcache) ↔ n ∈ content ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]), n = m, n ∈ content0, ino ∈ icache

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 531:
files[ino] = mkfile(m2, md0, m3, content0), icache[ino0] = mkientry(boolvar, mkinode(m0, md, true, m1, m4, m5)), files[ino0] = mkfile(m6, md1, m7, content), ino0 ∈ files, ino ∈ files, ino0 ∈ icache, datakey(ino, n) ∈ pcache[datakey(ino, m), mkpentry(false, buf)], datakey(ino, n) ∈ pcache ⊦ n ∈ content ⊕ mkcontent(ino0, pcache) ↔ n ∈ content ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]), n = m, ino ∈ icache, n ∈ content0, n ∈ mkcontent(ino0, pcache)

Rule argument

fma: n ∈ mkcontent(ino0, pcache)

Additional information

Used simplifier rules: in-mkcontent: ⊦ n ∈ mkcontent(ino, pcache) ↔ datakey(ino, n) ∈ pcache;%in-overwrite-content: ⊦ n ∈ content0 ⊕ content1 ↔ n ∈ content0 ∨ n ∈ content1;% ⊦ key ∈ pcache[key0, pe] ↔ key = key0 ∨ key ∈ pcache; (ws) Used formulas: n ∈ mkcontent(ino0, pcache)