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Proof step 460 from proof overwrite-write-page-clean (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 461:
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), datakey(ino0, m) ∈ pcache, m ∈ content, ino0 ∈ icache, ino ∈ files, ino0 ∈ files, datakey(ino0, m) ∈ pcache[datakey(ino, m), mkpentry(false, buf)] ⊦ (content ⊕ mkcontent(ino0, pcache))[m] = pcache[datakey(ino, m), mkpentry(false, buf)][datakey(ino0, m)].page, 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;