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Proof step 271 from proof overwrite-write-page-dirty (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 272:
files[ino0] = mkfile(m2, md0, m3, content0), ino ∈ files, ino0 ∈ files, datakey(ino0, n) ∈ pcache[datakey(ino, m), mkpentry(true, buf)] ⊦ (content0 ⊕ mkcontent(ino0, pcache))[n] = pcache[datakey(ino, m), mkpentry(true, buf)][datakey(ino0, n)].page, ino0 = ino, ino0 ∈ icache, ino ∈ icache

Rule argument

Additional information

Used simplifier rules: at-mkcontent: ⊦ mkcontent(ino, pcache)[n] = pcache[datakey(ino, n)].page;%in-mkcontent: ⊦ n ∈ mkcontent(ino, pcache) ↔ datakey(ino, n) ∈ pcache;