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Proof step 493 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), ino0 ∈ icache, ino ∈ files, ino0 ∈ files ⊦ (content ⊕ mkcontent(ino0, pcache))[m] = (content ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[m], datakey(ino0, m) = datakey(ino, m), datakey(ino0, m) ∈ pcache, m ∈ content, ino ∈ icache, m ∈ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 494:
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 ⊦ (content ⊕ mkcontent(ino0, pcache))[m] = (∅)[m], datakey(ino0, m) = datakey(ino, m), ino ∈ icache, m ∈ content, datakey(ino0, m) ∈ pcache

Rule argument

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 ≠ key0 → (key ∈ pcache[key0, pe] ↔ key ∈ pcache); (s)% ⊦ ¬ n ∈ content → content[n] = (∅)[n]; (s)