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Proof step 117 from proof overwrite-write-page-dirty (previous step)

files[ino0] = mkfile(m6, md1, m7, content0), icache[ino0] = mkientry(boolvar, mkinode(m2, md0, false, m3, m4, m5)), ((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), ino0 ∈ icache, ino ∈ icache, ino0 ∈ files, ino ∈ files ⊦ ino0 = ino, ∀ n. (n ∈ content0 ⊕ mkcontent(ino0, pcache) ↔ n ∈ content0 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(true, buf)])) ∧ (content0 ⊕ mkcontent(ino0, pcache))[n] = (content0 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(true, buf)]))[n]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 118:
((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), icache[ino0] = mkientry(boolvar, mkinode(m2, md0, false, m3, m4, m5)), files[ino0] = mkfile(m6, md1, m7, content0), ino ∈ files, ino0 ∈ files, ino ∈ icache, ino0 ∈ icache ⊦ ino0 = ino, (n ∈ content0 ⊕ mkcontent(ino0, pcache) ↔ n ∈ content0 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(true, buf)])) ∧ (content0 ⊕ mkcontent(ino0, pcache))[n] = (content0 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(true, buf)]))[n]

Proof step 117 from proof overwrite-write-page-dirty (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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