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Proof step 224 from proof overwrite-write-page-dirty (previous step)

files[ino0] = mkfile(m2, md0, m3, content0), ino ∈ files, ino0 ∈ files ⊦ (ino0 = ino ⊃ mkfile(files[ino].size, files[ino].meta, files[ino].nlink, (files[ino].content ⊕ mkcontent(ino, pcache))[m, buf]) ;mkfile(m2, md0, m3, content0 ⊕ mkcontent(ino0, pcache)) ) = mkfile(m2, md0, m3, content0 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(true, buf)])), ino0 ∈ icache, ino ∈ icache

Heuristic if-then-else split applied rule case distinction

And obtained the following new goals

Proof step 225:
files[ino0] = mkfile(m2, md0, m3, content0), ino0 = ino, ino0 ∈ files, ino ∈ files ⊦ mkfile(files[ino].size, files[ino].meta, files[ino].nlink, (files[ino].content ⊕ mkcontent(ino, pcache))[m, buf]) = mkfile(m2, md0, m3, content0 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(true, buf)])), ino ∈ icache, ino0 ∈ icache
Proof step 254:
files[ino0] = mkfile(m2, md0, m3, content0), ino0 ∈ files, ino ∈ files ⊦ ino0 = ino, mkfile(m2, md0, m3, content0 ⊕ mkcontent(ino0, pcache)) = mkfile(m2, md0, m3, content0 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(true, buf)])), ino ∈ icache, ino0 ∈ icache

Rule argument

pos: right 1

Proof step 224 from proof overwrite-write-page-dirty (previous step)

Heuristic if-then-else split applied rule case distinction

And obtained the following new goals

Rule argument

Additional information