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Proof step 207 from proof overwrite-write-page-dirty (previous step)

files[ino0] = mkfile(m2, md0, m3, content0), ((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), ino ∈ files, ino0 ∈ files, ino ∈ icache ⊦ n ∈ content0 ⊕ mkcontent(ino0, pcache) ↔ n ∈ content0 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(true, buf)]), ino0 ∈ icache

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 208:
⊦ n ∈ content0 ⊕ content1 ↔ n ∈ content0 ∨ n ∈ content1
Proof step 209:
((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), files[ino0] = mkfile(m2, md0, m3, content0), ino ∈ icache, ino0 ∈ files, ino ∈ files ⊦ n ∈ content0 ⊕ mkcontent(ino0, pcache) ↔ n ∈ content0 ∨ n ∈ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(true, buf)]), ino0 ∈ icache

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(true, buf)]), content0, n] flags: <all paths>

Additional information

Used terms: mkcontent(ino0, pcache[datakey(ino, m), mkpentry(true, buf)]), content0, n