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Proof step 131 from proof overwrite-write-page-clean (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 132:
icache[ino] = mkientry(boolvar, mkinode(m0, md, false, m1, m4, m5)), files[ino] = mkfile(m2, md0, m3, content0), n ∈ content0[m, buf], ino ∈ files, ino ∈ icache ⊦ (content0 ⊕ mkcontent(ino, pcache))[m, buf][n] = content0[m, buf][n], datakey(ino, n) = datakey(ino, m), 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;% ⊦ key ≠ key0 → (key ∈ pcache[key0, pe] ↔ key ∈ pcache); (s)