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Proof step 936 from proof overwrite-write-page-clean (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 937:
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 ⊦ ino0 = ino, n = m, ino0 ∈ icache, ino ∈ icache, (n ∈ content1 ⊕ mkcontent(ino0, pcache) ↔ n ∈ content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)])) ∧ (content1 ⊕ mkcontent(ino0, pcache))[n] = (content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[n]

Rule argument

Additional information

Used simplifier rules: ⊦ n ≠ n0 → (n ∈ content[n0, buf] ↔ n ∈ content); (s)