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Proof step 238 from proof overwrite-write-page-dirty (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 239:
⊦ n ∈ content0 ⊕ content1 ↔ n ∈ content0 ∨ n ∈ content1
Proof step 240:
files[ino] = mkfile(m2, md0, m3, content0), ino ∈ files ⊦ n ∈ content0 ⊕ mkcontent(ino, pcache) ↔ n ∈ content0 ∨ n ∈ mkcontent(ino, pcache[datakey(ino, m), mkpentry(true, buf)]), n = m, ino ∈ icache

Rule argument

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

Additional information

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