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Proof step 262 from proof overwrite-write-page-clean (previous step)

files[ino0] = mkfile(m8, md2, m9, content1), icache[ino0] = mkientry(boolvar, mkinode(m4, md1, true, m5, m6, m7)), files[ino] = mkfile(m2, md0, m3, content0), ((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), ino ∈ icache, ino0 ∈ files, ino ∈ files, ino0 ∈ icache, n ∈ content0[m, buf] ⊦ n ∈ content1 ⊕ mkcontent(ino0, pcache) ↔ n ∈ content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]), datakey(ino, n) = datakey(ino, m), ino0 = ino, datakey(ino, n) ∈ pcache, n ∈ content1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 263:
⊦ n ∈ content0 ⊕ content1 ↔ n ∈ content0 ∨ n ∈ content1
Proof step 264:
((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), files[ino] = mkfile(m2, md0, m3, content0), icache[ino0] = mkientry(boolvar, mkinode(m4, md1, true, m5, m6, m7)), files[ino0] = mkfile(m8, md2, m9, content1), n ∈ content0[m, buf], ino0 ∈ icache, ino ∈ files, ino0 ∈ files, ino ∈ icache ⊦ n ∈ content1 ⊕ mkcontent(ino0, pcache) ↔ n ∈ content1 ∨ n ∈ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]), datakey(ino, n) = datakey(ino, m), ino0 = ino, n ∈ content1, datakey(ino, n) ∈ pcache

Rule argument

spec: <toplevel> name: in-overwrite-content seq: ⊦ n ∈ content0 ⊕ content1 ↔ n ∈ content0 ∨ n ∈ content1 subst: [content1, content0, n] → [mkcontent (ino0, pcache[datakey(ino, m), mkpentry(false, buf)]), content1, n] flags: <all paths>

Additional information

Used terms: mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]), content1, n