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Proof step 260 from proof overwrite-write-page-dirty (previous step)

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

User applied rule case distinction

And obtained the following new goals

Proof step 261:
files[ino0] = mkfile(m2, md0, m3, content0), ino ∈ files, ino0 ∈ files ⊦ n ∈ content0 ⊕ mkcontent(ino0, pcache) ↔ n ∈ content0 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(true, buf)]), ino0 = ino, ino0 ∈ icache, ino ∈ icache
Proof step 266:
files[ino0] = mkfile(m2, md0, m3, content0), ino ∈ files, ino0 ∈ files ⊦ (content0 ⊕ mkcontent(ino0, pcache))[n] = (content0 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(true, buf)]))[n], ino0 = ino, ino0 ∈ icache, ino ∈ icache

Rule argument

pos: right 4

Proof step 260 from proof overwrite-write-page-dirty (previous step)

User applied rule case distinction

And obtained the following new goals

Rule argument

Additional information