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Proof step 723 from proof overwrite-write-page-clean (previous step)

files[ino] = mkfile(m2, md0, m3, content0), ((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), files[ino0] = mkfile(m4, md1, m5, content1), m ∈ content, ino ∈ icache, ino0 ∈ files, ino ∈ files ⊦ m ∈ content1 ⊕ mkcontent(ino0, pcache) ↔ m ∈ content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]), datakey(ino0, m) = datakey(ino, m), datakey(ino0, m) ∈ pcache, ino0 ∈ icache

Heuristic weak cut applied rule cut formula

And closed the goal!

Rule argument

fma: m ∈ content1

Additional information

Used simplifier rules: in-overwrite-content: ⊦ n ∈ content0 ⊕ content1 ↔ n ∈ content0 ∨ n ∈ content1;%in-overwrite-content: ⊦ n ∈ content0 ⊕ content1 ↔ n ∈ content0 ∨ n ∈ content1;%in-mkcontent: ⊦ n ∈ mkcontent(ino, pcache) ↔ datakey(ino, n) ∈ pcache;% ⊦ key ≠ key0 → (key ∈ pcache[key0, pe] ↔ key ∈ pcache); (s) Used formulas: m ∈ content1