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Proof step 237 from proof overwrite-write-page-dirty (previous step)

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

User applied rule case distinction

And obtained the following new goals

Proof step 238:
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
Proof step 243:
files[ino] = mkfile(m2, md0, m3, content0), ino ∈ files ⊦ (content0 ⊕ mkcontent(ino, pcache))[n] = (content0 ⊕ mkcontent(ino, pcache[datakey(ino, m), mkpentry(true, buf)]))[n], n = m, ino ∈ icache

Rule argument

pos: right 3

Proof step 237 from proof overwrite-write-page-dirty (previous step)

User applied rule case distinction

And obtained the following new goals

Rule argument

Additional information