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Proof step 599 from proof overwrite-write-page-clean (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 600:
⊦ n ∈ content0 ⊕ content1 ↔ n ∈ content0 ∨ n ∈ content1
Proof step 601:
files[ino0] = mkfile(m6, md1, m7, content), icache[ino0] = mkientry(boolvar, mkinode(m0, md, false, m1, m4, m5)), files[ino] = mkfile(m2, md0, m3, content0), ino0 ∈ icache, ino ∈ files, ino0 ∈ files ⊦ m ∈ content ⊕ mkcontent(ino0, pcache) ↔ m ∈ content ∨ m ∈ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]), ino ∈ 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(false, buf)]), content, m] flags: <all paths>

Additional information

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