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Proof step 478 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(ino0, m) ∈ pcache, ino0 ∈ icache, ino ∈ files, ino0 ∈ files, m ∈ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]) ⊦ m ∈ content, ino ∈ icache, (m ∈ content ⊕ mkcontent(ino0, pcache) ↔ m ∈ content ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)])) ∧ (content ⊕ mkcontent(ino0, pcache))[m] = (content ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[m]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 479:
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(ino0, m) ∈ pcache, datakey(ino0, m) ∈ pcache[datakey(ino, m), mkpentry(false, buf)] ⊦ ino ∈ icache, m ∈ content, (m ∈ content ⊕ mkcontent(ino0, pcache) ↔ m ∈ content ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)])) ∧ (content ⊕ mkcontent(ino0, pcache))[m] = (content ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[m]

Rule argument

Additional information

Used simplifier rules: in-mkcontent: ⊦ n ∈ mkcontent(ino, pcache) ↔ datakey(ino, n) ∈ pcache;