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Proof step 904 from proof overwrite-write-page-clean (previous step)

files[ino] = mkfile(m2, md0, m3, content0), ino ∈ files ⊦ (content0 ⊕ mkcontent(ino, pcache))[n] = content0[m, buf][n], datakey(ino, n) = datakey(ino, m), datakey(ino, n) ∈ pcache, ino ∈ icache, n ∈ content0, n ∈ mkcontent(ino, pcache)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 905:
files[ino] = mkfile(m2, md0, m3, content0), ino ∈ files ⊦ (∅)[n] = content0[m, buf][n], datakey(ino, n) = datakey(ino, m), n ∈ content0, ino ∈ icache, datakey(ino, n) ∈ 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;% ⊦ ¬ n ∈ content → content[n] = (∅)[n]; (s)