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Proof step 947 from proof overwrite-write-page-clean (previous step)

files[ino] = mkfile(m2, md0, m3, content0), files[ino0] = mkfile(m4, md1, m5, content1), datakey(ino, n) ∈ pcache[datakey(ino, m), mkpentry(false, buf)], ino ∈ files, ino0 ∈ files, n ∈ content0, datakey(ino, n) ∈ pcache, n ∈ mkcontent(ino0, pcache) ⊦ (content1 ⊕ mkcontent(ino0, pcache))[n] = (content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[n], ino0 = ino, n = m, ino0 ∈ icache, ino ∈ icache

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 948:
files[ino0] = mkfile(m4, md1, m5, content1), files[ino] = mkfile(m2, md0, m3, content0), datakey(ino, n) ∈ pcache, n ∈ content0, ino0 ∈ files, ino ∈ files, datakey(ino, n) ∈ pcache[datakey(ino, m), mkpentry(false, buf)], datakey(ino0, n) ∈ pcache ⊦ pcache[datakey(ino0, n)].page = (content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[n], ino0 = ino, n = m, ino ∈ icache, ino0 ∈ icache

Rule argument

Additional information

Used simplifier rules: at-overwrite-content-new: ⊦ n ∈ content1 → (content0 ⊕ content1)[n] = content1[n];%at-mkcontent: ⊦ mkcontent(ino, pcache)[n] = pcache[datakey(ino, n)].page;%in-mkcontent: ⊦ n ∈ mkcontent(ino, pcache) ↔ datakey(ino, n) ∈ pcache;